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Finding the Fourth Proportional to 9,196.86, 12,660.54 and 8,309.88

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Solution

The fourth proportional to 9,196.86, 12,660.54 and 8,309.88 is: 11,439.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,196.86 : 12,660.54 = 8,309.88 : x
  2. Step 2: Convert to fraction form
    9,196.86/12,660.54 = 8,309.88/x
  3. Step 3: Cross multiply
    9,196.86x = 12,660.54 × 8,309.88
  4. Step 4: Simplify right side
    9,196.86x = 105,207,568.14
  5. Step 5: Solve for x
    x = 105,207,568.14/9,196.86
  6. Step 6: Final answer
    x = 11,439.51

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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.