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Finding the Fourth Proportional to 6,132.28, 9,198.42 and 1,515.28

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Solution

The fourth proportional to 6,132.28, 9,198.42 and 1,515.28 is: 2,272.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,132.28 : 9,198.42 = 1,515.28 : x
  2. Step 2: Convert to fraction form
    6,132.28/9,198.42 = 1,515.28/x
  3. Step 3: Cross multiply
    6,132.28x = 9,198.42 × 1,515.28
  4. Step 4: Simplify right side
    6,132.28x = 13,938,181.86
  5. Step 5: Solve for x
    x = 13,938,181.86/6,132.28
  6. Step 6: Final answer
    x = 2,272.92

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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.