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Finding the Fourth Proportional to 6,820.68, 9,413.37 and 3,836.64

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Solution

The fourth proportional to 6,820.68, 9,413.37 and 3,836.64 is: 5,295.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,820.68 : 9,413.37 = 3,836.64 : x
  2. Step 2: Convert to fraction form
    6,820.68/9,413.37 = 3,836.64/x
  3. Step 3: Cross multiply
    6,820.68x = 9,413.37 × 3,836.64
  4. Step 4: Simplify right side
    6,820.68x = 36,115,711.88
  5. Step 5: Solve for x
    x = 36,115,711.88/6,820.68
  6. Step 6: Final answer
    x = 5,295.03

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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.