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Finding the Fourth Proportional to 6,122.16, 9,195.57 and 3,661.83

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Solution

The fourth proportional to 6,122.16, 9,195.57 and 3,661.83 is: 5,500.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,122.16 : 9,195.57 = 3,661.83 : x
  2. Step 2: Convert to fraction form
    6,122.16/9,195.57 = 3,661.83/x
  3. Step 3: Cross multiply
    6,122.16x = 9,195.57 × 3,661.83
  4. Step 4: Simplify right side
    6,122.16x = 33,672,614.09
  5. Step 5: Solve for x
    x = 33,672,614.09/6,122.16
  6. Step 6: Final answer
    x = 5,500.12

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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.