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Finding the Fourth Proportional to 9,179.91, 12,667.41 and 5,200.20

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Solution

The fourth proportional to 9,179.91, 12,667.41 and 5,200.20 is: 7,175.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,179.91 : 12,667.41 = 5,200.20 : x
  2. Step 2: Convert to fraction form
    9,179.91/12,667.41 = 5,200.20/x
  3. Step 3: Cross multiply
    9,179.91x = 12,667.41 × 5,200.20
  4. Step 4: Simplify right side
    9,179.91x = 65,873,065.48
  5. Step 5: Solve for x
    x = 65,873,065.48/9,179.91
  6. Step 6: Final answer
    x = 7,175.79

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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.