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Finding the Fourth Proportional to 6,504.68, 9,757.32 and 2,122.40

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Solution

The fourth proportional to 6,504.68, 9,757.32 and 2,122.40 is: 3,183.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,504.68 : 9,757.32 = 2,122.40 : x
  2. Step 2: Convert to fraction form
    6,504.68/9,757.32 = 2,122.40/x
  3. Step 3: Cross multiply
    6,504.68x = 9,757.32 × 2,122.40
  4. Step 4: Simplify right side
    6,504.68x = 20,708,935.97
  5. Step 5: Solve for x
    x = 20,708,935.97/6,504.68
  6. Step 6: Final answer
    x = 3,183.70

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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.