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Finding the Fourth Proportional to 9,227.97, 13,818.79 and 5,703.49

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Solution

The fourth proportional to 9,227.97, 13,818.79 and 5,703.49 is: 8,540.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,227.97 : 13,818.79 = 5,703.49 : x
  2. Step 2: Convert to fraction form
    9,227.97/13,818.79 = 5,703.49/x
  3. Step 3: Cross multiply
    9,227.97x = 13,818.79 × 5,703.49
  4. Step 4: Simplify right side
    9,227.97x = 78,815,330.58
  5. Step 5: Solve for x
    x = 78,815,330.58/9,227.97
  6. Step 6: Final answer
    x = 8,540.92

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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.