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Finding the Fourth Proportional to 9,205.72, 12,706.76 and 5,229.48

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Solution

The fourth proportional to 9,205.72, 12,706.76 and 5,229.48 is: 7,218.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,205.72 : 12,706.76 = 5,229.48 : x
  2. Step 2: Convert to fraction form
    9,205.72/12,706.76 = 5,229.48/x
  3. Step 3: Cross multiply
    9,205.72x = 12,706.76 × 5,229.48
  4. Step 4: Simplify right side
    9,205.72x = 66,449,747.28
  5. Step 5: Solve for x
    x = 66,449,747.28/9,205.72
  6. Step 6: Final answer
    x = 7,218.31

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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.