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Finding the Fourth Proportional to 8,952.91, 13,429.50 and 3,109.66

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Solution

The fourth proportional to 8,952.91, 13,429.50 and 3,109.66 is: 4,664.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,952.91 : 13,429.50 = 3,109.66 : x
  2. Step 2: Convert to fraction form
    8,952.91/13,429.50 = 3,109.66/x
  3. Step 3: Cross multiply
    8,952.91x = 13,429.50 × 3,109.66
  4. Step 4: Simplify right side
    8,952.91x = 41,761,178.97
  5. Step 5: Solve for x
    x = 41,761,178.97/8,952.91
  6. Step 6: Final answer
    x = 4,664.54

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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.