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Finding the Fourth Proportional to 6,149.28, 9,224.61 and 2,253.68

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Solution

The fourth proportional to 6,149.28, 9,224.61 and 2,253.68 is: 3,380.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,149.28 : 9,224.61 = 2,253.68 : x
  2. Step 2: Convert to fraction form
    6,149.28/9,224.61 = 2,253.68/x
  3. Step 3: Cross multiply
    6,149.28x = 9,224.61 × 2,253.68
  4. Step 4: Simplify right side
    6,149.28x = 20,789,272.94
  5. Step 5: Solve for x
    x = 20,789,272.94/6,149.28
  6. Step 6: Final answer
    x = 3,380.77

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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.