Alright, let's work through 9676 times 6723 step by step
9676 × 6723 = 6723 × (9676)
+ 6723 × 6 producing 40338
+ 6723 × 70 yielding 470610
+ 6723 × 600 producing 4033800
+ 6723 × 9000 that results in 60507000

= 65051748
