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Finding the Fourth Proportional to 6,896.92, 9,516.78 and 3,911.80

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Solution

The fourth proportional to 6,896.92, 9,516.78 and 3,911.80 is: 5,397.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,896.92 : 9,516.78 = 3,911.80 : x
  2. Step 2: Convert to fraction form
    6,896.92/9,516.78 = 3,911.80/x
  3. Step 3: Cross multiply
    6,896.92x = 9,516.78 × 3,911.80
  4. Step 4: Simplify right side
    6,896.92x = 37,227,740.00
  5. Step 5: Solve for x
    x = 37,227,740.00/6,896.92
  6. Step 6: Final answer
    x = 5,397.73

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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.