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Finding the Fourth Proportional to 6,272.72, 9,354.26 and 5,496.33

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Solution

The fourth proportional to 6,272.72, 9,354.26 and 5,496.33 is: 8,196.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,272.72 : 9,354.26 = 5,496.33 : x
  2. Step 2: Convert to fraction form
    6,272.72/9,354.26 = 5,496.33/x
  3. Step 3: Cross multiply
    6,272.72x = 9,354.26 × 5,496.33
  4. Step 4: Simplify right side
    6,272.72x = 51,414,072.38
  5. Step 5: Solve for x
    x = 51,414,072.38/6,272.72
  6. Step 6: Final answer
    x = 8,196.46

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.