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Finding the Fourth Proportional to 9,123.92, 13,659.40 and 8,174.29

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Solution

The fourth proportional to 9,123.92, 13,659.40 and 8,174.29 is: 12,237.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,123.92 : 13,659.40 = 8,174.29 : x
  2. Step 2: Convert to fraction form
    9,123.92/13,659.40 = 8,174.29/x
  3. Step 3: Cross multiply
    9,123.92x = 13,659.40 × 8,174.29
  4. Step 4: Simplify right side
    9,123.92x = 111,655,828.53
  5. Step 5: Solve for x
    x = 111,655,828.53/9,123.92
  6. Step 6: Final answer
    x = 12,237.70

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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.