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Finding the Fourth Proportional to 9,179.46, 12,667.86 and 5,201.42

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Solution

The fourth proportional to 9,179.46, 12,667.86 and 5,201.42 is: 7,178.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,179.46 : 12,667.86 = 5,201.42 : x
  2. Step 2: Convert to fraction form
    9,179.46/12,667.86 = 5,201.42/x
  3. Step 3: Cross multiply
    9,179.46x = 12,667.86 × 5,201.42
  4. Step 4: Simplify right side
    9,179.46x = 65,890,797.02
  5. Step 5: Solve for x
    x = 65,890,797.02/9,179.46
  6. Step 6: Final answer
    x = 7,178.07

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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.