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Finding the Fourth Proportional to 6,451.92, 9,679.50 and 3,166.56

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Solution

The fourth proportional to 6,451.92, 9,679.50 and 3,166.56 is: 4,750.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,451.92 : 9,679.50 = 3,166.56 : x
  2. Step 2: Convert to fraction form
    6,451.92/9,679.50 = 3,166.56/x
  3. Step 3: Cross multiply
    6,451.92x = 9,679.50 × 3,166.56
  4. Step 4: Simplify right side
    6,451.92x = 30,650,717.52
  5. Step 5: Solve for x
    x = 30,650,717.52/6,451.92
  6. Step 6: Final answer
    x = 4,750.64

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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.