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Finding the Fourth Proportional to 6,591.34, 9,885.96 and 2,208.82

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Solution

The fourth proportional to 6,591.34, 9,885.96 and 2,208.82 is: 3,312.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,591.34 : 9,885.96 = 2,208.82 : x
  2. Step 2: Convert to fraction form
    6,591.34/9,885.96 = 2,208.82/x
  3. Step 3: Cross multiply
    6,591.34x = 9,885.96 × 2,208.82
  4. Step 4: Simplify right side
    6,591.34x = 21,836,306.17
  5. Step 5: Solve for x
    x = 21,836,306.17/6,591.34
  6. Step 6: Final answer
    x = 3,312.88

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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.