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Finding the Fourth Proportional to 6,134.42, 9,201.68 and 1,517.42

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Solution

The fourth proportional to 6,134.42, 9,201.68 and 1,517.42 is: 2,276.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,134.42 : 9,201.68 = 1,517.42 : x
  2. Step 2: Convert to fraction form
    6,134.42/9,201.68 = 1,517.42/x
  3. Step 3: Cross multiply
    6,134.42x = 9,201.68 × 1,517.42
  4. Step 4: Simplify right side
    6,134.42x = 13,962,813.27
  5. Step 5: Solve for x
    x = 13,962,813.27/6,134.42
  6. Step 6: Final answer
    x = 2,276.14

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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.