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Finding the Fourth Proportional to 6,299.73, 9,456.89 and 3,383.73

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Solution

The fourth proportional to 6,299.73, 9,456.89 and 3,383.73 is: 5,079.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,299.73 : 9,456.89 = 3,383.73 : x
  2. Step 2: Convert to fraction form
    6,299.73/9,456.89 = 3,383.73/x
  3. Step 3: Cross multiply
    6,299.73x = 9,456.89 × 3,383.73
  4. Step 4: Simplify right side
    6,299.73x = 31,999,545.48
  5. Step 5: Solve for x
    x = 31,999,545.48/6,299.73
  6. Step 6: Final answer
    x = 5,079.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.