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Finding the Fourth Proportional to 6,677.53, 9,216.12 and 3,989.14

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Solution

The fourth proportional to 6,677.53, 9,216.12 and 3,989.14 is: 5,505.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,677.53 : 9,216.12 = 3,989.14 : x
  2. Step 2: Convert to fraction form
    6,677.53/9,216.12 = 3,989.14/x
  3. Step 3: Cross multiply
    6,677.53x = 9,216.12 × 3,989.14
  4. Step 4: Simplify right side
    6,677.53x = 36,764,392.94
  5. Step 5: Solve for x
    x = 36,764,392.94/6,677.53
  6. Step 6: Final answer
    x = 5,505.69

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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.