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Finding the Fourth Proportional to 6,665.42, 9,198.82 and 3,833.71

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Solution

The fourth proportional to 6,665.42, 9,198.82 and 3,833.71 is: 5,290.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,665.42 : 9,198.82 = 3,833.71 : x
  2. Step 2: Convert to fraction form
    6,665.42/9,198.82 = 3,833.71/x
  3. Step 3: Cross multiply
    6,665.42x = 9,198.82 × 3,833.71
  4. Step 4: Simplify right side
    6,665.42x = 35,265,608.22
  5. Step 5: Solve for x
    x = 35,265,608.22/6,665.42
  6. Step 6: Final answer
    x = 5,290.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.