Alright, let's work through 9638 times 5633 step by step
9638 × 5633 = 5633 × (9638)
+ 5633 × 8 producing 45064
+ 5633 × 30 resulting in 168990
+ 5633 × 600 producing 3379800
+ 5633 × 9000 what gives us 50697000

= 54290854
