Alright, let's work through 9514 times 2677 step by step
9514 × 2677 = 2677 × (9514)
+ 2677 × 4 yielding 10708
+ 2677 × 10 producing 26770
+ 2677 × 500 resulting in 1338500
+ 2677 × 9000 resulting in 24093000

= 25468978
