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Finding the Fourth Proportional to 9,178.92, 12,665.76 and 5,145.96

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Solution

The fourth proportional to 9,178.92, 12,665.76 and 5,145.96 is: 7,100.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,178.92 : 12,665.76 = 5,145.96 : x
  2. Step 2: Convert to fraction form
    9,178.92/12,665.76 = 5,145.96/x
  3. Step 3: Cross multiply
    9,178.92x = 12,665.76 × 5,145.96
  4. Step 4: Simplify right side
    9,178.92x = 65,177,494.33
  5. Step 5: Solve for x
    x = 65,177,494.33/9,178.92
  6. Step 6: Final answer
    x = 7,100.78

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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.