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Finding the Fourth Proportional to 6,356.73, 9,540.96 and 3,238.97

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Solution

The fourth proportional to 6,356.73, 9,540.96 and 3,238.97 is: 4,861.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,356.73 : 9,540.96 = 3,238.97 : x
  2. Step 2: Convert to fraction form
    6,356.73/9,540.96 = 3,238.97/x
  3. Step 3: Cross multiply
    6,356.73x = 9,540.96 × 3,238.97
  4. Step 4: Simplify right side
    6,356.73x = 30,902,835.51
  5. Step 5: Solve for x
    x = 30,902,835.51/6,356.73
  6. Step 6: Final answer
    x = 4,861.44

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Why These Related Problems?

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