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Finding the Fourth Proportional to 31,564.47, 47,354.00 and 9,377.36

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Solution

The fourth proportional to 31,564.47, 47,354.00 and 9,377.36 is: 14,068.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,564.47 : 47,354.00 = 9,377.36 : x
  2. Step 2: Convert to fraction form
    31,564.47/47,354.00 = 9,377.36/x
  3. Step 3: Cross multiply
    31,564.47x = 47,354.00 × 9,377.36
  4. Step 4: Simplify right side
    31,564.47x = 444,055,221.78
  5. Step 5: Solve for x
    x = 444,055,221.78/31,564.47
  6. Step 6: Final answer
    x = 14,068.20

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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.