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Finding the Fourth Proportional to 8,774.27, 13,162.25 and 3,227.72

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Solution

The fourth proportional to 8,774.27, 13,162.25 and 3,227.72 is: 4,841.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,774.27 : 13,162.25 = 3,227.72 : x
  2. Step 2: Convert to fraction form
    8,774.27/13,162.25 = 3,227.72/x
  3. Step 3: Cross multiply
    8,774.27x = 13,162.25 × 3,227.72
  4. Step 4: Simplify right side
    8,774.27x = 42,484,092.73
  5. Step 5: Solve for x
    x = 42,484,092.73/8,774.27
  6. Step 6: Final answer
    x = 4,841.89

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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.