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Finding the Fourth Proportional to 9,636.72, 13,308.12 and 8,231.28

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Solution

The fourth proportional to 9,636.72, 13,308.12 and 8,231.28 is: 11,367.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,636.72 : 13,308.12 = 8,231.28 : x
  2. Step 2: Convert to fraction form
    9,636.72/13,308.12 = 8,231.28/x
  3. Step 3: Cross multiply
    9,636.72x = 13,308.12 × 8,231.28
  4. Step 4: Simplify right side
    9,636.72x = 109,542,861.99
  5. Step 5: Solve for x
    x = 109,542,861.99/9,636.72
  6. Step 6: Final answer
    x = 11,367.24

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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.