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Finding the Fourth Proportional to 6,592.30, 9,882.09 and 2,207.32

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Solution

The fourth proportional to 6,592.30, 9,882.09 and 2,207.32 is: 3,308.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,592.30 : 9,882.09 = 2,207.32 : x
  2. Step 2: Convert to fraction form
    6,592.30/9,882.09 = 2,207.32/x
  3. Step 3: Cross multiply
    6,592.30x = 9,882.09 × 2,207.32
  4. Step 4: Simplify right side
    6,592.30x = 21,812,934.90
  5. Step 5: Solve for x
    x = 21,812,934.90/6,592.30
  6. Step 6: Final answer
    x = 3,308.85

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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.