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Finding the Fourth Proportional to 6,500.48, 9,742.56 and 3,729.44

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Solution

The fourth proportional to 6,500.48, 9,742.56 and 3,729.44 is: 5,589.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,500.48 : 9,742.56 = 3,729.44 : x
  2. Step 2: Convert to fraction form
    6,500.48/9,742.56 = 3,729.44/x
  3. Step 3: Cross multiply
    6,500.48x = 9,742.56 × 3,729.44
  4. Step 4: Simplify right side
    6,500.48x = 36,334,292.97
  5. Step 5: Solve for x
    x = 36,334,292.97/6,500.48
  6. Step 6: Final answer
    x = 5,589.48

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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.