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Finding the Fourth Proportional to 9,267.80, 12,791.54 and 5,909.80

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Solution

The fourth proportional to 9,267.80, 12,791.54 and 5,909.80 is: 8,156.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,267.80 : 12,791.54 = 5,909.80 : x
  2. Step 2: Convert to fraction form
    9,267.80/12,791.54 = 5,909.80/x
  3. Step 3: Cross multiply
    9,267.80x = 12,791.54 × 5,909.80
  4. Step 4: Simplify right side
    9,267.80x = 75,595,443.09
  5. Step 5: Solve for x
    x = 75,595,443.09/9,267.80
  6. Step 6: Final answer
    x = 8,156.78

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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.