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Finding the Fourth Proportional to 39,295.24, 58,942.28 and 9,713.08

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Solution

The fourth proportional to 39,295.24, 58,942.28 and 9,713.08 is: 14,569.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,295.24 : 58,942.28 = 9,713.08 : x
  2. Step 2: Convert to fraction form
    39,295.24/58,942.28 = 9,713.08/x
  3. Step 3: Cross multiply
    39,295.24x = 58,942.28 × 9,713.08
  4. Step 4: Simplify right side
    39,295.24x = 572,511,081.02
  5. Step 5: Solve for x
    x = 572,511,081.02/39,295.24
  6. Step 6: Final answer
    x = 14,569.48

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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.