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Date: 24 July 1996
Summary
Heat 1
| Rank | Name | Nation | Time |
| 1 | Chen Yan; Han Xue; Cai Huijue; Shan Ying | CHN | 4:09.23 |
| 2 | Nina Zhivanevskaya; Yelena Makarova; Svetlana Pozdeyeva; Natalya Meshcheryakova | RUS | 4:10.65 |
| 3 | Krisztina Egerszegi; Agnes Kovacs; Edit Klocker; Anna Nyiry | HUN | 4:10.92 |
| 4 | Brenda Starink; Madelon Baans; Willemina van Hofwegen; Karin Brienesse | NED | 4:11.64 |
| 5 | Anu Koivisto; Mia Hagman; Marja Parssinen; Minna Salmela | FIN | 4:14.14 |
| 6 | Helene Ricardo; Karine Bremond; Cecile Jeanson; Solenne Figues | FRA | 4:15.69 |
| 7 | Valeria Alvarez; Maria Santa Cruz; Maria del Pilar Pereyra; Maria Bertellotti | ARG | 4:27.99 |
| 8 | Lin Chien-Ju; Mou Ying-Hsin; Hsieh Shu-Ting; Tsai Shu-Min | TPE | 4:38.90 |
| Rank | Name | Nation | Time |
| 1 | Whitney Hedgepeth; Kristine Quance; Jenny Thompson; Catherine Fox | USA | 4:05.80 |
| 2 | Julie Howard; Guylaine Cloutier; Sarah Evanetz; Shannon Shakespeare | CAN | 4:09.50 |
| 3 | Therese Alshammar; Hanna Jaltner; Johanna Sjoeberg; Louise Joehncke | SWE | 4:10.88 |
| 4 | Helen Slatter; Jaime King; Caroline Foot; Karen Pickering | GBR | 4:13.75 |
| 5 | Eva Pinera; Maria Olay; Maria Pelaez; Claudia Franco Solana | ESP | 4:15.63 |
| 6 | Catalina Casaru; Beatrice Coada; Loredana Zisu; Liliana Dobrescu | ROU | 4:16.18 |
| 7 | Lee Ji-Hyun; Byun Hye-Young; Park Woo-Hee; Lee Bo-Eun | KOR | 4:18.98 |
| 8 | Katerina Pivonkova; Lenka Manhalova; Marcela Kubalcikova; Kristyna Kynerova | CZE | 4:21.05 |
| Rank | Name | Nation | Time |
| 1 | Nicole Stevenson; Helen Denman; Angela Kennedy; Sarah Ryan | AUS | 4:08.87 |
| 2 | Antje Buschschulte; Kathrin Dumitru; Franziska van Almsick; Sandra Voelker | GER | 4:08.95 |
| 3 | Marianne Kriel; Penny Heyns; Amanda Loots; Helene Muller | RSA | 4:09.47 |
| 4 | Lorenza Vigarani; Manuela dalla Valle; Ilaria Tocchini; Cecilia Vianini | ITA | 4:10.57 |
| 5 | Mai Nakamura; Masami Tanaka; Ayari Aoyama; Suzu Chiba | JPN | 4:10.71 |
| 6 | Lydia Lipscombe; Anna Wilson; Anna Simcic; Alison Fitch | NZL | 4:19.83 |
| 7 | Maria Santos; Joana Soutinho; Ana Francisco; Ana Alegria | POR | 4:21.61 |
| 8 | Aikaterini Klepkou; Aikaterini Sarakatsani; Marina Karystinou; Antonia Makhaira | GRE | 4:24.80 |