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Finding the Fourth Proportional to 6,821.21, 9,413.69 and 3,837.24

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Solution

The fourth proportional to 6,821.21, 9,413.69 and 3,837.24 is: 5,295.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,821.21 : 9,413.69 = 3,837.24 : x
  2. Step 2: Convert to fraction form
    6,821.21/9,413.69 = 3,837.24/x
  3. Step 3: Cross multiply
    6,821.21x = 9,413.69 × 3,837.24
  4. Step 4: Simplify right side
    6,821.21x = 36,122,568.63
  5. Step 5: Solve for x
    x = 36,122,568.63/6,821.21
  6. Step 6: Final answer
    x = 5,295.62

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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.