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Finding the Fourth Proportional to 9,667.68, 14,520.24 and 8,581.44

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Solution

The fourth proportional to 9,667.68, 14,520.24 and 8,581.44 is: 12,888.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,667.68 : 14,520.24 = 8,581.44 : x
  2. Step 2: Convert to fraction form
    9,667.68/14,520.24 = 8,581.44/x
  3. Step 3: Cross multiply
    9,667.68x = 14,520.24 × 8,581.44
  4. Step 4: Simplify right side
    9,667.68x = 124,604,568.35
  5. Step 5: Solve for x
    x = 124,604,568.35/9,667.68
  6. Step 6: Final answer
    x = 12,888.78

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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.