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Finding the Fourth Proportional to 6,822.53, 9,413.21 and 3,838.19

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Solution

The fourth proportional to 6,822.53, 9,413.21 and 3,838.19 is: 5,295.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,822.53 : 9,413.21 = 3,838.19 : x
  2. Step 2: Convert to fraction form
    6,822.53/9,413.21 = 3,838.19/x
  3. Step 3: Cross multiply
    6,822.53x = 9,413.21 × 3,838.19
  4. Step 4: Simplify right side
    6,822.53x = 36,129,651.02
  5. Step 5: Solve for x
    x = 36,129,651.02/6,822.53
  6. Step 6: Final answer
    x = 5,295.64

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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.