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Finding the Fourth Proportional to 6,413.70, 8,852.28 and 4,171.68

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Solution

The fourth proportional to 6,413.70, 8,852.28 and 4,171.68 is: 5,757.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,413.70 : 8,852.28 = 4,171.68 : x
  2. Step 2: Convert to fraction form
    6,413.70/8,852.28 = 4,171.68/x
  3. Step 3: Cross multiply
    6,413.70x = 8,852.28 × 4,171.68
  4. Step 4: Simplify right side
    6,413.70x = 36,928,879.43
  5. Step 5: Solve for x
    x = 36,928,879.43/6,413.70
  6. Step 6: Final answer
    x = 5,757.81

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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.