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Finding the Fourth Proportional to 6,146.54, 9,217.22 and 3,372.42

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Solution

The fourth proportional to 6,146.54, 9,217.22 and 3,372.42 is: 5,057.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,146.54 : 9,217.22 = 3,372.42 : x
  2. Step 2: Convert to fraction form
    6,146.54/9,217.22 = 3,372.42/x
  3. Step 3: Cross multiply
    6,146.54x = 9,217.22 × 3,372.42
  4. Step 4: Simplify right side
    6,146.54x = 31,084,337.07
  5. Step 5: Solve for x
    x = 31,084,337.07/6,146.54
  6. Step 6: Final answer
    x = 5,057.21

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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.