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Finding the Fourth Proportional to 7,132.76, 9,843.22 and 3,989.68

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Solution

The fourth proportional to 7,132.76, 9,843.22 and 3,989.68 is: 5,505.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,132.76 : 9,843.22 = 3,989.68 : x
  2. Step 2: Convert to fraction form
    7,132.76/9,843.22 = 3,989.68/x
  3. Step 3: Cross multiply
    7,132.76x = 9,843.22 × 3,989.68
  4. Step 4: Simplify right side
    7,132.76x = 39,271,297.97
  5. Step 5: Solve for x
    x = 39,271,297.97/7,132.76
  6. Step 6: Final answer
    x = 5,505.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.