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Finding the Fourth Proportional to 39,084.82, 58,626.77 and 9,502.68

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Solution

The fourth proportional to 39,084.82, 58,626.77 and 9,502.68 is: 14,253.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,084.82 : 58,626.77 = 9,502.68 : x
  2. Step 2: Convert to fraction form
    39,084.82/58,626.77 = 9,502.68/x
  3. Step 3: Cross multiply
    39,084.82x = 58,626.77 × 9,502.68
  4. Step 4: Simplify right side
    39,084.82x = 557,111,434.74
  5. Step 5: Solve for x
    x = 557,111,434.74/39,084.82
  6. Step 6: Final answer
    x = 14,253.91

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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.