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Finding the Fourth Proportional to 6,132.31, 9,203.17 and 4,353.24

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Solution

The fourth proportional to 6,132.31, 9,203.17 and 4,353.24 is: 6,533.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,132.31 : 9,203.17 = 4,353.24 : x
  2. Step 2: Convert to fraction form
    6,132.31/9,203.17 = 4,353.24/x
  3. Step 3: Cross multiply
    6,132.31x = 9,203.17 × 4,353.24
  4. Step 4: Simplify right side
    6,132.31x = 40,063,607.77
  5. Step 5: Solve for x
    x = 40,063,607.77/6,132.31
  6. Step 6: Final answer
    x = 6,533.20

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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.