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Finding the Fourth Proportional to 9,251.44, 12,766.77 and 5,667.80

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Solution

The fourth proportional to 9,251.44, 12,766.77 and 5,667.80 is: 7,821.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,251.44 : 12,766.77 = 5,667.80 : x
  2. Step 2: Convert to fraction form
    9,251.44/12,766.77 = 5,667.80/x
  3. Step 3: Cross multiply
    9,251.44x = 12,766.77 × 5,667.80
  4. Step 4: Simplify right side
    9,251.44x = 72,359,435.17
  5. Step 5: Solve for x
    x = 72,359,435.17/9,251.44
  6. Step 6: Final answer
    x = 7,821.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.