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Finding the Fourth Proportional to 6,505.92, 9,757.81 and 2,122.30

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Solution

The fourth proportional to 6,505.92, 9,757.81 and 2,122.30 is: 3,183.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,505.92 : 9,757.81 = 2,122.30 : x
  2. Step 2: Convert to fraction form
    6,505.92/9,757.81 = 2,122.30/x
  3. Step 3: Cross multiply
    6,505.92x = 9,757.81 × 2,122.30
  4. Step 4: Simplify right side
    6,505.92x = 20,708,940.76
  5. Step 5: Solve for x
    x = 20,708,940.76/6,505.92
  6. Step 6: Final answer
    x = 3,183.09

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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.