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Finding the Fourth Proportional to 9,620.82, 14,414.81 and 5,230.44

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Solution

The fourth proportional to 9,620.82, 14,414.81 and 5,230.44 is: 7,836.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,620.82 : 14,414.81 = 5,230.44 : x
  2. Step 2: Convert to fraction form
    9,620.82/14,414.81 = 5,230.44/x
  3. Step 3: Cross multiply
    9,620.82x = 14,414.81 × 5,230.44
  4. Step 4: Simplify right side
    9,620.82x = 75,395,772.66
  5. Step 5: Solve for x
    x = 75,395,772.66/9,620.82
  6. Step 6: Final answer
    x = 7,836.73

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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.