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Finding the Fourth Proportional to 9,179.62, 12,667.84 and 5,201.49

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Solution

The fourth proportional to 9,179.62, 12,667.84 and 5,201.49 is: 7,178.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,179.62 : 12,667.84 = 5,201.49 : x
  2. Step 2: Convert to fraction form
    9,179.62/12,667.84 = 5,201.49/x
  3. Step 3: Cross multiply
    9,179.62x = 12,667.84 × 5,201.49
  4. Step 4: Simplify right side
    9,179.62x = 65,891,579.74
  5. Step 5: Solve for x
    x = 65,891,579.74/9,179.62
  6. Step 6: Final answer
    x = 7,178.03

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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.