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Finding the Fourth Proportional to 9,105.32, 13,654.08 and 3,842.68

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Solution

The fourth proportional to 9,105.32, 13,654.08 and 3,842.68 is: 5,762.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,105.32 : 13,654.08 = 3,842.68 : x
  2. Step 2: Convert to fraction form
    9,105.32/13,654.08 = 3,842.68/x
  3. Step 3: Cross multiply
    9,105.32x = 13,654.08 × 3,842.68
  4. Step 4: Simplify right side
    9,105.32x = 52,468,260.13
  5. Step 5: Solve for x
    x = 52,468,260.13/9,105.32
  6. Step 6: Final answer
    x = 5,762.37

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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.