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Finding the Fourth Proportional to 6,505.38, 9,757.26 and 2,122.47

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Solution

The fourth proportional to 6,505.38, 9,757.26 and 2,122.47 is: 3,183.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,505.38 : 9,757.26 = 2,122.47 : x
  2. Step 2: Convert to fraction form
    6,505.38/9,757.26 = 2,122.47/x
  3. Step 3: Cross multiply
    6,505.38x = 9,757.26 × 2,122.47
  4. Step 4: Simplify right side
    6,505.38x = 20,709,491.63
  5. Step 5: Solve for x
    x = 20,709,491.63/6,505.38
  6. Step 6: Final answer
    x = 3,183.44

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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.