"I feel like I put myself in a couple of good positions I just haven't really finished well," Nordqvist said.
Michelle Wie eagled the par-5 18th to finish two strokes back at 3-under 69, tied with six others including defending champion Suzann Pettersen of Norway and Brittany Lang.
Inbee Park, who leads the money list and the player of the year rankings, had back-to-back bogeys on Nos. 12 and 13 and was tied for 13th at 2-under 70.
American teenager Lexi Thompson, who won the LPGA Malaysia on Sunday for her second career title, shot a 71 and was tied for 17th.
Na Yeon Choi of South Korea, who won here in 2009 and 2010, was tied for 18th after a 71.
Since the tournament's first year in 2002, a South Korean has successfully taken home the title seven out of the 11 years.