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Finding the Fourth Proportional to 6,102.56, 9,148.16 and 3,177.38

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Solution

The fourth proportional to 6,102.56, 9,148.16 and 3,177.38 is: 4,763.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,102.56 : 9,148.16 = 3,177.38 : x
  2. Step 2: Convert to fraction form
    6,102.56/9,148.16 = 3,177.38/x
  3. Step 3: Cross multiply
    6,102.56x = 9,148.16 × 3,177.38
  4. Step 4: Simplify right side
    6,102.56x = 29,067,180.62
  5. Step 5: Solve for x
    x = 29,067,180.62/6,102.56
  6. Step 6: Final answer
    x = 4,763.11

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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.