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Finding the Fourth Proportional to 9,667.14, 14,524.92 and 6,158.64

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Solution

The fourth proportional to 9,667.14, 14,524.92 and 6,158.64 is: 9,253.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,667.14 : 14,524.92 = 6,158.64 : x
  2. Step 2: Convert to fraction form
    9,667.14/14,524.92 = 6,158.64/x
  3. Step 3: Cross multiply
    9,667.14x = 14,524.92 × 6,158.64
  4. Step 4: Simplify right side
    9,667.14x = 89,453,753.31
  5. Step 5: Solve for x
    x = 89,453,753.31/9,667.14
  6. Step 6: Final answer
    x = 9,253.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.