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Finding the Fourth Proportional to 6,821.15, 9,413.15 and 3,836.92

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Solution

The fourth proportional to 6,821.15, 9,413.15 and 3,836.92 is: 5,294.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,821.15 : 9,413.15 = 3,836.92 : x
  2. Step 2: Convert to fraction form
    6,821.15/9,413.15 = 3,836.92/x
  3. Step 3: Cross multiply
    6,821.15x = 9,413.15 × 3,836.92
  4. Step 4: Simplify right side
    6,821.15x = 36,117,503.50
  5. Step 5: Solve for x
    x = 36,117,503.50/6,821.15
  6. Step 6: Final answer
    x = 5,294.93

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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.