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Finding the Fourth Proportional to 6,674.31, 9,208.17 and 4,022.55

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Solution

The fourth proportional to 6,674.31, 9,208.17 and 4,022.55 is: 5,549.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,674.31 : 9,208.17 = 4,022.55 : x
  2. Step 2: Convert to fraction form
    6,674.31/9,208.17 = 4,022.55/x
  3. Step 3: Cross multiply
    6,674.31x = 9,208.17 × 4,022.55
  4. Step 4: Simplify right side
    6,674.31x = 37,040,324.23
  5. Step 5: Solve for x
    x = 37,040,324.23/6,674.31
  6. Step 6: Final answer
    x = 5,549.69

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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.