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Finding the Fourth Proportional to 6,618.97, 9,133.49 and 3,966.31

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Solution

The fourth proportional to 6,618.97, 9,133.49 and 3,966.31 is: 5,473.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,618.97 : 9,133.49 = 3,966.31 : x
  2. Step 2: Convert to fraction form
    6,618.97/9,133.49 = 3,966.31/x
  3. Step 3: Cross multiply
    6,618.97x = 9,133.49 × 3,966.31
  4. Step 4: Simplify right side
    6,618.97x = 36,226,207.05
  5. Step 5: Solve for x
    x = 36,226,207.05/6,618.97
  6. Step 6: Final answer
    x = 5,473.09

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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.