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Finding the Fourth Proportional to 6,413.27, 8,847.87 and 3,894.42

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Solution

The fourth proportional to 6,413.27, 8,847.87 and 3,894.42 is: 5,372.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,413.27 : 8,847.87 = 3,894.42 : x
  2. Step 2: Convert to fraction form
    6,413.27/8,847.87 = 3,894.42/x
  3. Step 3: Cross multiply
    6,413.27x = 8,847.87 × 3,894.42
  4. Step 4: Simplify right side
    6,413.27x = 34,457,321.89
  5. Step 5: Solve for x
    x = 34,457,321.89/6,413.27
  6. Step 6: Final answer
    x = 5,372.82

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