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Finding the Fourth Proportional to 6,227.82, 9,338.90 and 3,884.22

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Solution

The fourth proportional to 6,227.82, 9,338.90 and 3,884.22 is: 5,824.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,227.82 : 9,338.90 = 3,884.22 : x
  2. Step 2: Convert to fraction form
    6,227.82/9,338.90 = 3,884.22/x
  3. Step 3: Cross multiply
    6,227.82x = 9,338.90 × 3,884.22
  4. Step 4: Simplify right side
    6,227.82x = 36,274,322.74
  5. Step 5: Solve for x
    x = 36,274,322.74/6,227.82
  6. Step 6: Final answer
    x = 5,824.56

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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.