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Finding the Fourth Proportional to 9,915.29, 13,683.53 and 5,935.63

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Solution

The fourth proportional to 9,915.29, 13,683.53 and 5,935.63 is: 8,191.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,915.29 : 13,683.53 = 5,935.63 : x
  2. Step 2: Convert to fraction form
    9,915.29/13,683.53 = 5,935.63/x
  3. Step 3: Cross multiply
    9,915.29x = 13,683.53 × 5,935.63
  4. Step 4: Simplify right side
    9,915.29x = 81,220,341.50
  5. Step 5: Solve for x
    x = 81,220,341.50/9,915.29
  6. Step 6: Final answer
    x = 8,191.43

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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.