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Finding the Fourth Proportional to 6,156.48, 9,229.20 and 2,259.97

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Solution

The fourth proportional to 6,156.48, 9,229.20 and 2,259.97 is: 3,387.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,156.48 : 9,229.20 = 2,259.97 : x
  2. Step 2: Convert to fraction form
    6,156.48/9,229.20 = 2,259.97/x
  3. Step 3: Cross multiply
    6,156.48x = 9,229.20 × 2,259.97
  4. Step 4: Simplify right side
    6,156.48x = 20,857,715.12
  5. Step 5: Solve for x
    x = 20,857,715.12/6,156.48
  6. Step 6: Final answer
    x = 3,387.93

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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.