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Finding the Fourth Proportional to 9,031.06, 12,463.86 and 5,053.24

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Solution

The fourth proportional to 9,031.06, 12,463.86 and 5,053.24 is: 6,974.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,031.06 : 12,463.86 = 5,053.24 : x
  2. Step 2: Convert to fraction form
    9,031.06/12,463.86 = 5,053.24/x
  3. Step 3: Cross multiply
    9,031.06x = 12,463.86 × 5,053.24
  4. Step 4: Simplify right side
    9,031.06x = 62,982,875.91
  5. Step 5: Solve for x
    x = 62,982,875.91/9,031.06
  6. Step 6: Final answer
    x = 6,974.03

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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.