Alright, let's work through 4971 times 3003 step by step
4971 × 3003 = 3003 × (4971)
+ 3003 × 1 that results in 3003
+ 3003 × 70 that equals 210210
+ 3003 × 900 giving us 2702700
+ 3003 × 4000 that is equal 12012000

= 14927913
