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Finding the Fourth Proportional to 9,178.97, 12,667.01 and 5,200.85

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Solution

The fourth proportional to 9,178.97, 12,667.01 and 5,200.85 is: 7,177.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,178.97 : 12,667.01 = 5,200.85 : x
  2. Step 2: Convert to fraction form
    9,178.97/12,667.01 = 5,200.85/x
  3. Step 3: Cross multiply
    9,178.97x = 12,667.01 × 5,200.85
  4. Step 4: Simplify right side
    9,178.97x = 65,879,129.62
  5. Step 5: Solve for x
    x = 65,879,129.62/9,178.97
  6. Step 6: Final answer
    x = 7,177.18

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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.