Bartoli, who claimed her seventh WTA title on Sunday, moves up two spots to number nine. The Frenchwoman is still bidding to qualify for the season-ending WTA Championships in Istanbul from October 25-30 with just one place up for grabs.
Slovak Dominika Cibulkova, a finalist in Linz, Austria moves up three places to 20th.
Denmark's Caroline Wozniacki holds the world number one ranking ahead of Russian Maria Sharapova with Victoria Azarenka of Belarus in third.
1. Caroline Wozniacki (DEN) 8005 pts
2. Maria Sharapova (RUS) 6370
3. Victoria Azarenka (BLR) 6190
4. Petra Kvitova (CZE) 5970
5. Vera Zvonareva (RUS) 5755
6. Samantha Stosur (AUS) 5585
7. Li Na (CHN) 5425
8. Agnieszka Radwanska (POL) 4940
9. Marion Bartoli (FRA) 4610 (+2)
10. Andrea Petkovic (GER) 4580 (-1)
11. Kim Clijsters (BEL) 4501 (-1)
12. Francesca Schiavone (ITA) 4210
13. Jelena Jankovic (SRB) 3200
14. Serena Williams (USA) 3180
15. Anastasia Pavlyuchenkova (RUS) 2910
16. Shuai Peng (CHN) 2825
17. Sabine Lisicki (GER) 2724
18. Flavia Pennetta (ITA) 2490
19. Svetlana Kuznetsova (RUS) 2487
20. Dominika Cibulkova (SVK) 2405 (+3)
Bartoli back in top ten
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