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Finding the Fourth Proportional to 9,819.78, 14,724 and 3,969.96

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Solution

The fourth proportional to 9,819.78, 14,724 and 3,969.96 is: 5,952.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,819.78 : 14,724 = 3,969.96 : x
  2. Step 2: Convert to fraction form
    9,819.78/14,724 = 3,969.96/x
  3. Step 3: Cross multiply
    9,819.78x = 14,724 × 3,969.96
  4. Step 4: Simplify right side
    9,819.78x = 58,453,691.04
  5. Step 5: Solve for x
    x = 58,453,691.04/9,819.78
  6. Step 6: Final answer
    x = 5,952.65

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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.