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Finding the Fourth Proportional to 9,208.78, 12,708.20 and 5,229.97

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Solution

The fourth proportional to 9,208.78, 12,708.20 and 5,229.97 is: 7,217.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,208.78 : 12,708.20 = 5,229.97 : x
  2. Step 2: Convert to fraction form
    9,208.78/12,708.20 = 5,229.97/x
  3. Step 3: Cross multiply
    9,208.78x = 12,708.20 × 5,229.97
  4. Step 4: Simplify right side
    9,208.78x = 66,463,486.06
  5. Step 5: Solve for x
    x = 66,463,486.06/9,208.78
  6. Step 6: Final answer
    x = 7,217.41

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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.