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Finding the Fourth Proportional to 6,799.69, 9,382.87 and 3,966.31

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Solution

The fourth proportional to 6,799.69, 9,382.87 and 3,966.31 is: 5,473.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,799.69 : 9,382.87 = 3,966.31 : x
  2. Step 2: Convert to fraction form
    6,799.69/9,382.87 = 3,966.31/x
  3. Step 3: Cross multiply
    6,799.69x = 9,382.87 × 3,966.31
  4. Step 4: Simplify right side
    6,799.69x = 37,215,351.28
  5. Step 5: Solve for x
    x = 37,215,351.28/6,799.69
  6. Step 6: Final answer
    x = 5,473.10

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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.