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Finding the Fourth Proportional to 6,771.23, 9,324.92 and 6,349.32

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Solution

The fourth proportional to 6,771.23, 9,324.92 and 6,349.32 is: 8,743.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,771.23 : 9,324.92 = 6,349.32 : x
  2. Step 2: Convert to fraction form
    6,771.23/9,324.92 = 6,349.32/x
  3. Step 3: Cross multiply
    6,771.23x = 9,324.92 × 6,349.32
  4. Step 4: Simplify right side
    6,771.23x = 59,206,916.93
  5. Step 5: Solve for x
    x = 59,206,916.93/6,771.23
  6. Step 6: Final answer
    x = 8,743.89

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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.