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Finding the Fourth Proportional to 9,793.28, 14,694.12 and 5,413.88

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Solution

The fourth proportional to 9,793.28, 14,694.12 and 5,413.88 is: 8,123.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,793.28 : 14,694.12 = 5,413.88 : x
  2. Step 2: Convert to fraction form
    9,793.28/14,694.12 = 5,413.88/x
  3. Step 3: Cross multiply
    9,793.28x = 14,694.12 × 5,413.88
  4. Step 4: Simplify right side
    9,793.28x = 79,552,202.39
  5. Step 5: Solve for x
    x = 79,552,202.39/9,793.28
  6. Step 6: Final answer
    x = 8,123.14

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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.