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Finding the Fourth Proportional to 9,793.44, 14,691.98 and 3,219.89

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Solution

The fourth proportional to 9,793.44, 14,691.98 and 3,219.89 is: 4,830.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,793.44 : 14,691.98 = 3,219.89 : x
  2. Step 2: Convert to fraction form
    9,793.44/14,691.98 = 3,219.89/x
  3. Step 3: Cross multiply
    9,793.44x = 14,691.98 × 3,219.89
  4. Step 4: Simplify right side
    9,793.44x = 47,306,494.07
  5. Step 5: Solve for x
    x = 47,306,494.07/9,793.44
  6. Step 6: Final answer
    x = 4,830.43

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Why These Related Problems?

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