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Finding the Fourth Proportional to 6,113.62, 9,164.28 and 2,414.42

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Solution

The fourth proportional to 6,113.62, 9,164.28 and 2,414.42 is: 3,619.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,113.62 : 9,164.28 = 2,414.42 : x
  2. Step 2: Convert to fraction form
    6,113.62/9,164.28 = 2,414.42/x
  3. Step 3: Cross multiply
    6,113.62x = 9,164.28 × 2,414.42
  4. Step 4: Simplify right side
    6,113.62x = 22,126,404.94
  5. Step 5: Solve for x
    x = 22,126,404.94/6,113.62
  6. Step 6: Final answer
    x = 3,619.20

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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.