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Finding the Fourth Proportional to 6,823.92, 9,413.40 and 4,171.44

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Solution

The fourth proportional to 6,823.92, 9,413.40 and 4,171.44 is: 5,754.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,823.92 : 9,413.40 = 4,171.44 : x
  2. Step 2: Convert to fraction form
    6,823.92/9,413.40 = 4,171.44/x
  3. Step 3: Cross multiply
    6,823.92x = 9,413.40 × 4,171.44
  4. Step 4: Simplify right side
    6,823.92x = 39,267,433.30
  5. Step 5: Solve for x
    x = 39,267,433.30/6,823.92
  6. Step 6: Final answer
    x = 5,754.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.