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Finding the Fourth Proportional to 8,226.09, 12,343.19 and 3,843.86

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Solution

The fourth proportional to 8,226.09, 12,343.19 and 3,843.86 is: 5,767.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,226.09 : 12,343.19 = 3,843.86 : x
  2. Step 2: Convert to fraction form
    8,226.09/12,343.19 = 3,843.86/x
  3. Step 3: Cross multiply
    8,226.09x = 12,343.19 × 3,843.86
  4. Step 4: Simplify right side
    8,226.09x = 47,445,413.38
  5. Step 5: Solve for x
    x = 47,445,413.38/8,226.09
  6. Step 6: Final answer
    x = 5,767.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.