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Finding the Fourth Proportional to 8,231.10, 12,334.05 and 6,141.30

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Solution

The fourth proportional to 8,231.10, 12,334.05 and 6,141.30 is: 9,202.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,231.10 : 12,334.05 = 6,141.30 : x
  2. Step 2: Convert to fraction form
    8,231.10/12,334.05 = 6,141.30/x
  3. Step 3: Cross multiply
    8,231.10x = 12,334.05 × 6,141.30
  4. Step 4: Simplify right side
    8,231.10x = 75,747,101.27
  5. Step 5: Solve for x
    x = 75,747,101.27/8,231.10
  6. Step 6: Final answer
    x = 9,202.55

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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.