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Finding the Fourth Proportional to 6,161.81, 9,243.12 and 2,213.87

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Solution

The fourth proportional to 6,161.81, 9,243.12 and 2,213.87 is: 3,320.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,161.81 : 9,243.12 = 2,213.87 : x
  2. Step 2: Convert to fraction form
    6,161.81/9,243.12 = 2,213.87/x
  3. Step 3: Cross multiply
    6,161.81x = 9,243.12 × 2,213.87
  4. Step 4: Simplify right side
    6,161.81x = 20,463,066.07
  5. Step 5: Solve for x
    x = 20,463,066.07/6,161.81
  6. Step 6: Final answer
    x = 3,320.95

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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.