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Finding the Fourth Proportional to 6,342.10, 9,505.80 and 3,414.24

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Solution

The fourth proportional to 6,342.10, 9,505.80 and 3,414.24 is: 5,117.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,342.10 : 9,505.80 = 3,414.24 : x
  2. Step 2: Convert to fraction form
    6,342.10/9,505.80 = 3,414.24/x
  3. Step 3: Cross multiply
    6,342.10x = 9,505.80 × 3,414.24
  4. Step 4: Simplify right side
    6,342.10x = 32,455,082.59
  5. Step 5: Solve for x
    x = 32,455,082.59/6,342.10
  6. Step 6: Final answer
    x = 5,117.41

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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.