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Finding the Fourth Proportional to 6,821.72, 9,414.51 and 3,837.37

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Solution

The fourth proportional to 6,821.72, 9,414.51 and 3,837.37 is: 5,295.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,821.72 : 9,414.51 = 3,837.37 : x
  2. Step 2: Convert to fraction form
    6,821.72/9,414.51 = 3,837.37/x
  3. Step 3: Cross multiply
    6,821.72x = 9,414.51 × 3,837.37
  4. Step 4: Simplify right side
    6,821.72x = 36,126,958.24
  5. Step 5: Solve for x
    x = 36,126,958.24/6,821.72
  6. Step 6: Final answer
    x = 5,295.88

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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.