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Finding the Fourth Proportional to 6,299.31, 8,696.66 and 4,177.73

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Solution

The fourth proportional to 6,299.31, 8,696.66 and 4,177.73 is: 5,767.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,299.31 : 8,696.66 = 4,177.73 : x
  2. Step 2: Convert to fraction form
    6,299.31/8,696.66 = 4,177.73/x
  3. Step 3: Cross multiply
    6,299.31x = 8,696.66 × 4,177.73
  4. Step 4: Simplify right side
    6,299.31x = 36,332,233.01
  5. Step 5: Solve for x
    x = 36,332,233.01/6,299.31
  6. Step 6: Final answer
    x = 5,767.65

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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.