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Finding the Fourth Proportional to 6,862.92, 9,471.78 and 5,091.72

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Solution

The fourth proportional to 6,862.92, 9,471.78 and 5,091.72 is: 7,027.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,862.92 : 9,471.78 = 5,091.72 : x
  2. Step 2: Convert to fraction form
    6,862.92/9,471.78 = 5,091.72/x
  3. Step 3: Cross multiply
    6,862.92x = 9,471.78 × 5,091.72
  4. Step 4: Simplify right side
    6,862.92x = 48,227,651.66
  5. Step 5: Solve for x
    x = 48,227,651.66/6,862.92
  6. Step 6: Final answer
    x = 7,027.28

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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.