Alright, let's work through 7369 times 1274 step by step
7369 × 1274 = 1274 × (7369)
+ 1274 × 9 giving us 11466
+ 1274 × 60 that equals 76440
+ 1274 × 300 yielding 382200
+ 1274 × 7000 that equals 8918000

= 9388106
