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Finding the Fourth Proportional to 6,121.66, 9,182.32 and 1,961.50

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Solution

The fourth proportional to 6,121.66, 9,182.32 and 1,961.50 is: 2,942.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,121.66 : 9,182.32 = 1,961.50 : x
  2. Step 2: Convert to fraction form
    6,121.66/9,182.32 = 1,961.50/x
  3. Step 3: Cross multiply
    6,121.66x = 9,182.32 × 1,961.50
  4. Step 4: Simplify right side
    6,121.66x = 18,011,120.68
  5. Step 5: Solve for x
    x = 18,011,120.68/6,121.66
  6. Step 6: Final answer
    x = 2,942.20

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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.