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Finding the Fourth Proportional to 9,546.92, 13,166.94 and 6,723.66

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Solution

The fourth proportional to 9,546.92, 13,166.94 and 6,723.66 is: 9,273.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,546.92 : 13,166.94 = 6,723.66 : x
  2. Step 2: Convert to fraction form
    9,546.92/13,166.94 = 6,723.66/x
  3. Step 3: Cross multiply
    9,546.92x = 13,166.94 × 6,723.66
  4. Step 4: Simplify right side
    9,546.92x = 88,530,027.80
  5. Step 5: Solve for x
    x = 88,530,027.80/9,546.92
  6. Step 6: Final answer
    x = 9,273.15

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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.