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Finding the Fourth Proportional to 9,801.82, 14,691.48 and 4,249.59

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Solution

The fourth proportional to 9,801.82, 14,691.48 and 4,249.59 is: 6,369.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,801.82 : 14,691.48 = 4,249.59 : x
  2. Step 2: Convert to fraction form
    9,801.82/14,691.48 = 4,249.59/x
  3. Step 3: Cross multiply
    9,801.82x = 14,691.48 × 4,249.59
  4. Step 4: Simplify right side
    9,801.82x = 62,432,766.49
  5. Step 5: Solve for x
    x = 62,432,766.49/9,801.82
  6. Step 6: Final answer
    x = 6,369.51

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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.