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Finding the Fourth Proportional to 6,162, 9,232.74 and 4,079.22

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Solution

The fourth proportional to 6,162, 9,232.74 and 4,079.22 is: 6,112.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,162 : 9,232.74 = 4,079.22 : x
  2. Step 2: Convert to fraction form
    6,162/9,232.74 = 4,079.22/x
  3. Step 3: Cross multiply
    6,162x = 9,232.74 × 4,079.22
  4. Step 4: Simplify right side
    6,162x = 37,662,377.66
  5. Step 5: Solve for x
    x = 37,662,377.66/6,162
  6. Step 6: Final answer
    x = 6,112.04

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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.