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Finding the Fourth Proportional to 6,171.34, 9,256.56 and 2,472.52

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Solution

The fourth proportional to 6,171.34, 9,256.56 and 2,472.52 is: 3,708.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,171.34 : 9,256.56 = 2,472.52 : x
  2. Step 2: Convert to fraction form
    6,171.34/9,256.56 = 2,472.52/x
  3. Step 3: Cross multiply
    6,171.34x = 9,256.56 × 2,472.52
  4. Step 4: Simplify right side
    6,171.34x = 22,887,029.73
  5. Step 5: Solve for x
    x = 22,887,029.73/6,171.34
  6. Step 6: Final answer
    x = 3,708.60

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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.