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Finding the Fourth Proportional to 6,103.20, 9,167.10 and 3,642.84

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Solution

The fourth proportional to 6,103.20, 9,167.10 and 3,642.84 is: 5,471.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,103.20 : 9,167.10 = 3,642.84 : x
  2. Step 2: Convert to fraction form
    6,103.20/9,167.10 = 3,642.84/x
  3. Step 3: Cross multiply
    6,103.20x = 9,167.10 × 3,642.84
  4. Step 4: Simplify right side
    6,103.20x = 33,394,278.56
  5. Step 5: Solve for x
    x = 33,394,278.56/6,103.20
  6. Step 6: Final answer
    x = 5,471.60

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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.