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Finding the Fourth Proportional to 9,667.72, 14,516.70 and 8,216.20

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Solution

The fourth proportional to 9,667.72, 14,516.70 and 8,216.20 is: 12,337.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,667.72 : 14,516.70 = 8,216.20 : x
  2. Step 2: Convert to fraction form
    9,667.72/14,516.70 = 8,216.20/x
  3. Step 3: Cross multiply
    9,667.72x = 14,516.70 × 8,216.20
  4. Step 4: Simplify right side
    9,667.72x = 119,272,110.54
  5. Step 5: Solve for x
    x = 119,272,110.54/9,667.72
  6. Step 6: Final answer
    x = 12,337.15

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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.