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Finding the Fourth Proportional to 6,823.29, 9,414.43 and 5,231.56

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Solution

The fourth proportional to 6,823.29, 9,414.43 and 5,231.56 is: 7,218.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,823.29 : 9,414.43 = 5,231.56 : x
  2. Step 2: Convert to fraction form
    6,823.29/9,414.43 = 5,231.56/x
  3. Step 3: Cross multiply
    6,823.29x = 9,414.43 × 5,231.56
  4. Step 4: Simplify right side
    6,823.29x = 49,252,162.93
  5. Step 5: Solve for x
    x = 49,252,162.93/6,823.29
  6. Step 6: Final answer
    x = 7,218.24

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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.