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Finding the Fourth Proportional to 6,589.33, 9,882.97 and 2,206.83

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Solution

The fourth proportional to 6,589.33, 9,882.97 and 2,206.83 is: 3,309.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,589.33 : 9,882.97 = 2,206.83 : x
  2. Step 2: Convert to fraction form
    6,589.33/9,882.97 = 2,206.83/x
  3. Step 3: Cross multiply
    6,589.33x = 9,882.97 × 2,206.83
  4. Step 4: Simplify right side
    6,589.33x = 21,809,992.11
  5. Step 5: Solve for x
    x = 21,809,992.11/6,589.33
  6. Step 6: Final answer
    x = 3,309.89

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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.