Final answer:
The value of the digit 9 in 1,946 is 10 times the value of the digit 9 in 4,092, but this option is not listed in the given choices A through D.
Step-by-step explanation:
The value of the digit 9 in 1,946 is in the tens place, which is 9 x 10 = 90. In 4,092, the digit 9 is in the hundreds place, which is 9 x 100 = 900. To find out how many times larger one is than the other, we divide the larger value by the smaller value: 900 ÷ 90 = 10. So, the value of the digit 9 in 1,946 is 10 times the value of the digit 9 in 4,092. However, none of the options provided (A, B, C, D) correctly correspond to this value. Thus, if these were the only options, all would be incorrect as the actual answer is not listed.