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Finding the Fourth Proportional to 6,121.98, 9,183.81 and 1,962.12

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Solution

The fourth proportional to 6,121.98, 9,183.81 and 1,962.12 is: 2,943.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,121.98 : 9,183.81 = 1,962.12 : x
  2. Step 2: Convert to fraction form
    6,121.98/9,183.81 = 1,962.12/x
  3. Step 3: Cross multiply
    6,121.98x = 9,183.81 × 1,962.12
  4. Step 4: Simplify right side
    6,121.98x = 18,019,737.28
  5. Step 5: Solve for x
    x = 18,019,737.28/6,121.98
  6. Step 6: Final answer
    x = 2,943.45

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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.