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Finding the Fourth Proportional to 9,916.71, 13,681.29 and 6,331.80

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Solution

The fourth proportional to 9,916.71, 13,681.29 and 6,331.80 is: 8,735.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,916.71 : 13,681.29 = 6,331.80 : x
  2. Step 2: Convert to fraction form
    9,916.71/13,681.29 = 6,331.80/x
  3. Step 3: Cross multiply
    9,916.71x = 13,681.29 × 6,331.80
  4. Step 4: Simplify right side
    9,916.71x = 86,627,192.02
  5. Step 5: Solve for x
    x = 86,627,192.02/9,916.71
  6. Step 6: Final answer
    x = 8,735.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.