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Finding the Fourth Proportional to 6,114.88, 9,177.72 and 3,344.08

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Solution

The fourth proportional to 6,114.88, 9,177.72 and 3,344.08 is: 5,019.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,114.88 : 9,177.72 = 3,344.08 : x
  2. Step 2: Convert to fraction form
    6,114.88/9,177.72 = 3,344.08/x
  3. Step 3: Cross multiply
    6,114.88x = 9,177.72 × 3,344.08
  4. Step 4: Simplify right side
    6,114.88x = 30,691,029.90
  5. Step 5: Solve for x
    x = 30,691,029.90/6,114.88
  6. Step 6: Final answer
    x = 5,019.07

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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.