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Finding the Fourth Proportional to 9,174.31, 12,659.83 and 5,397.62

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Solution

The fourth proportional to 9,174.31, 12,659.83 and 5,397.62 is: 7,448.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,174.31 : 12,659.83 = 5,397.62 : x
  2. Step 2: Convert to fraction form
    9,174.31/12,659.83 = 5,397.62/x
  3. Step 3: Cross multiply
    9,174.31x = 12,659.83 × 5,397.62
  4. Step 4: Simplify right side
    9,174.31x = 68,332,874.81
  5. Step 5: Solve for x
    x = 68,332,874.81/9,174.31
  6. Step 6: Final answer
    x = 7,448.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.