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Finding the Fourth Proportional to 6,451.20, 9,682.20 and 3,167.10

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Solution

The fourth proportional to 6,451.20, 9,682.20 and 3,167.10 is: 4,753.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,451.20 : 9,682.20 = 3,167.10 : x
  2. Step 2: Convert to fraction form
    6,451.20/9,682.20 = 3,167.10/x
  3. Step 3: Cross multiply
    6,451.20x = 9,682.20 × 3,167.10
  4. Step 4: Simplify right side
    6,451.20x = 30,664,495.62
  5. Step 5: Solve for x
    x = 30,664,495.62/6,451.20
  6. Step 6: Final answer
    x = 4,753.30

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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.