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Finding the Fourth Proportional to 6,112.65, 9,169.62 and 2,414.37

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Solution

The fourth proportional to 6,112.65, 9,169.62 and 2,414.37 is: 3,621.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,112.65 : 9,169.62 = 2,414.37 : x
  2. Step 2: Convert to fraction form
    6,112.65/9,169.62 = 2,414.37/x
  3. Step 3: Cross multiply
    6,112.65x = 9,169.62 × 2,414.37
  4. Step 4: Simplify right side
    6,112.65x = 22,138,855.44
  5. Step 5: Solve for x
    x = 22,138,855.44/6,112.65
  6. Step 6: Final answer
    x = 3,621.81

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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.