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Finding the Fourth Proportional to 9,882.54, 14,822.39 and 3,308.78

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Solution

The fourth proportional to 9,882.54, 14,822.39 and 3,308.78 is: 4,962.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,882.54 : 14,822.39 = 3,308.78 : x
  2. Step 2: Convert to fraction form
    9,882.54/14,822.39 = 3,308.78/x
  3. Step 3: Cross multiply
    9,882.54x = 14,822.39 × 3,308.78
  4. Step 4: Simplify right side
    9,882.54x = 49,044,072.91
  5. Step 5: Solve for x
    x = 49,044,072.91/9,882.54
  6. Step 6: Final answer
    x = 4,962.70

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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.