Mumbai, July 29: The rupee climbed 6 paise to 95.76 against the US dollar on Wednesday, extending its gaining streak for the fourth straight session, amid hectic buying in domestic equity markets and lower global crude prices. The unit hit the day’s high of 95.48 before ending the session at 95.76 against the dollar, up 6 paise from its previous close. The local currency settled 17 paise higher at 95.82 against the US dollar on Tuesday, after gaining 74 paise in the previous two back-to-back sessions. Anuj Choudhary, Research Analyst, Mirae Asset ShareKhan, said the rupee gained on positive domestic markets and fresh FII inflows. A soft dollar also supported the rupee.