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Finding the Fourth Proportional to 39,294.16, 58,939.65 and 9,711.22

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Solution

The fourth proportional to 39,294.16, 58,939.65 and 9,711.22 is: 14,566.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,294.16 : 58,939.65 = 9,711.22 : x
  2. Step 2: Convert to fraction form
    39,294.16/58,939.65 = 9,711.22/x
  3. Step 3: Cross multiply
    39,294.16x = 58,939.65 × 9,711.22
  4. Step 4: Simplify right side
    39,294.16x = 572,375,907.87
  5. Step 5: Solve for x
    x = 572,375,907.87/39,294.16
  6. Step 6: Final answer
    x = 14,566.44

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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.