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Finding the Fourth Proportional to 6,617.67, 9,923.22 and 3,282.09

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Solution

The fourth proportional to 6,617.67, 9,923.22 and 3,282.09 is: 4,921.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,617.67 : 9,923.22 = 3,282.09 : x
  2. Step 2: Convert to fraction form
    6,617.67/9,923.22 = 3,282.09/x
  3. Step 3: Cross multiply
    6,617.67x = 9,923.22 × 3,282.09
  4. Step 4: Simplify right side
    6,617.67x = 32,568,901.13
  5. Step 5: Solve for x
    x = 32,568,901.13/6,617.67
  6. Step 6: Final answer
    x = 4,921.51

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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.