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Finding the Fourth Proportional to 39,294.24, 58,940.78 and 9,712.08

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Solution

The fourth proportional to 39,294.24, 58,940.78 and 9,712.08 is: 14,567.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,294.24 : 58,940.78 = 9,712.08 : x
  2. Step 2: Convert to fraction form
    39,294.24/58,940.78 = 9,712.08/x
  3. Step 3: Cross multiply
    39,294.24x = 58,940.78 × 9,712.08
  4. Step 4: Simplify right side
    39,294.24x = 572,437,275.92
  5. Step 5: Solve for x
    x = 572,437,275.92/39,294.24
  6. Step 6: Final answer
    x = 14,567.97

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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.