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Finding the Fourth Proportional to 9,407.90, 14,116.17 and 9,252.38

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Solution

The fourth proportional to 9,407.90, 14,116.17 and 9,252.38 is: 13,882.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,407.90 : 14,116.17 = 9,252.38 : x
  2. Step 2: Convert to fraction form
    9,407.90/14,116.17 = 9,252.38/x
  3. Step 3: Cross multiply
    9,407.90x = 14,116.17 × 9,252.38
  4. Step 4: Simplify right side
    9,407.90x = 130,608,168.98
  5. Step 5: Solve for x
    x = 130,608,168.98/9,407.90
  6. Step 6: Final answer
    x = 13,882.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.