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Finding the Fourth Proportional to 6,177.52, 9,266.34 and 2,429.68

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Solution

The fourth proportional to 6,177.52, 9,266.34 and 2,429.68 is: 3,644.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,177.52 : 9,266.34 = 2,429.68 : x
  2. Step 2: Convert to fraction form
    6,177.52/9,266.34 = 2,429.68/x
  3. Step 3: Cross multiply
    6,177.52x = 9,266.34 × 2,429.68
  4. Step 4: Simplify right side
    6,177.52x = 22,514,240.97
  5. Step 5: Solve for x
    x = 22,514,240.97/6,177.52
  6. Step 6: Final answer
    x = 3,644.54

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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.