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Finding the Fourth Proportional to 6,589.40, 9,884.12 and 2,206.31

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Solution

The fourth proportional to 6,589.40, 9,884.12 and 2,206.31 is: 3,309.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,589.40 : 9,884.12 = 2,206.31 : x
  2. Step 2: Convert to fraction form
    6,589.40/9,884.12 = 2,206.31/x
  3. Step 3: Cross multiply
    6,589.40x = 9,884.12 × 2,206.31
  4. Step 4: Simplify right side
    6,589.40x = 21,807,372.35
  5. Step 5: Solve for x
    x = 21,807,372.35/6,589.40
  6. Step 6: Final answer
    x = 3,309.47

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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.