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Finding the Fourth Proportional to 8,282.94, 12,427.46 and 3,842.73

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Solution

The fourth proportional to 8,282.94, 12,427.46 and 3,842.73 is: 5,765.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,282.94 : 12,427.46 = 3,842.73 : x
  2. Step 2: Convert to fraction form
    8,282.94/12,427.46 = 3,842.73/x
  3. Step 3: Cross multiply
    8,282.94x = 12,427.46 × 3,842.73
  4. Step 4: Simplify right side
    8,282.94x = 47,755,354.15
  5. Step 5: Solve for x
    x = 47,755,354.15/8,282.94
  6. Step 6: Final answer
    x = 5,765.51

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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.