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Finding the Fourth Proportional to 9,227.60, 13,842.92 and 2,989.18

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Solution

The fourth proportional to 9,227.60, 13,842.92 and 2,989.18 is: 4,484.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,227.60 : 13,842.92 = 2,989.18 : x
  2. Step 2: Convert to fraction form
    9,227.60/13,842.92 = 2,989.18/x
  3. Step 3: Cross multiply
    9,227.60x = 13,842.92 × 2,989.18
  4. Step 4: Simplify right side
    9,227.60x = 41,378,979.61
  5. Step 5: Solve for x
    x = 41,378,979.61/9,227.60
  6. Step 6: Final answer
    x = 4,484.26

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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.