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Finding the Fourth Proportional to 9,496.62, 13,108.96 and 8,500.12

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Solution

The fourth proportional to 9,496.62, 13,108.96 and 8,500.12 is: 11,733.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,496.62 : 13,108.96 = 8,500.12 : x
  2. Step 2: Convert to fraction form
    9,496.62/13,108.96 = 8,500.12/x
  3. Step 3: Cross multiply
    9,496.62x = 13,108.96 × 8,500.12
  4. Step 4: Simplify right side
    9,496.62x = 111,427,733.08
  5. Step 5: Solve for x
    x = 111,427,733.08/9,496.62
  6. Step 6: Final answer
    x = 11,733.41

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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.