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Finding the Fourth Proportional to 6,587.65, 9,882.51 and 2,204.09

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Solution

The fourth proportional to 6,587.65, 9,882.51 and 2,204.09 is: 3,306.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,587.65 : 9,882.51 = 2,204.09 : x
  2. Step 2: Convert to fraction form
    6,587.65/9,882.51 = 2,204.09/x
  3. Step 3: Cross multiply
    6,587.65x = 9,882.51 × 2,204.09
  4. Step 4: Simplify right side
    6,587.65x = 21,781,893.05
  5. Step 5: Solve for x
    x = 21,781,893.05/6,587.65
  6. Step 6: Final answer
    x = 3,306.47

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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.