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Finding the Fourth Proportional to 9,031.50, 12,463.72 and 5,053.30

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Solution

The fourth proportional to 9,031.50, 12,463.72 and 5,053.30 is: 6,973.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,031.50 : 12,463.72 = 5,053.30 : x
  2. Step 2: Convert to fraction form
    9,031.50/12,463.72 = 5,053.30/x
  3. Step 3: Cross multiply
    9,031.50x = 12,463.72 × 5,053.30
  4. Step 4: Simplify right side
    9,031.50x = 62,982,916.28
  5. Step 5: Solve for x
    x = 62,982,916.28/9,031.50
  6. Step 6: Final answer
    x = 6,973.69

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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.