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Finding the Fourth Proportional to 9,222.80, 13,843.82 and 8,175.27

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Solution

The fourth proportional to 9,222.80, 13,843.82 and 8,175.27 is: 12,271.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,222.80 : 13,843.82 = 8,175.27 : x
  2. Step 2: Convert to fraction form
    9,222.80/13,843.82 = 8,175.27/x
  3. Step 3: Cross multiply
    9,222.80x = 13,843.82 × 8,175.27
  4. Step 4: Simplify right side
    9,222.80x = 113,176,966.33
  5. Step 5: Solve for x
    x = 113,176,966.33/9,222.80
  6. Step 6: Final answer
    x = 12,271.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.