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Finding the Fourth Proportional to 6,147.48, 9,217.98 and 2,682.84

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Solution

The fourth proportional to 6,147.48, 9,217.98 and 2,682.84 is: 4,022.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,147.48 : 9,217.98 = 2,682.84 : x
  2. Step 2: Convert to fraction form
    6,147.48/9,217.98 = 2,682.84/x
  3. Step 3: Cross multiply
    6,147.48x = 9,217.98 × 2,682.84
  4. Step 4: Simplify right side
    6,147.48x = 24,730,400.03
  5. Step 5: Solve for x
    x = 24,730,400.03/6,147.48
  6. Step 6: Final answer
    x = 4,022.85

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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.