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Finding the Fourth Proportional to 9,227.29, 13,842.52 and 2,988.87

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Solution

The fourth proportional to 9,227.29, 13,842.52 and 2,988.87 is: 4,483.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,227.29 : 13,842.52 = 2,988.87 : x
  2. Step 2: Convert to fraction form
    9,227.29/13,842.52 = 2,988.87/x
  3. Step 3: Cross multiply
    9,227.29x = 13,842.52 × 2,988.87
  4. Step 4: Simplify right side
    9,227.29x = 41,373,423.54
  5. Step 5: Solve for x
    x = 41,373,423.54/9,227.29
  6. Step 6: Final answer
    x = 4,483.81

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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.