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Finding the Fourth Proportional to 6,127.65, 9,179.17 and 5,186.56

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Solution

The fourth proportional to 6,127.65, 9,179.17 and 5,186.56 is: 7,769.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,127.65 : 9,179.17 = 5,186.56 : x
  2. Step 2: Convert to fraction form
    6,127.65/9,179.17 = 5,186.56/x
  3. Step 3: Cross multiply
    6,127.65x = 9,179.17 × 5,186.56
  4. Step 4: Simplify right side
    6,127.65x = 47,608,297.25
  5. Step 5: Solve for x
    x = 47,608,297.25/6,127.65
  6. Step 6: Final answer
    x = 7,769.42

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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.