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Finding the Fourth Proportional to 6,122.16, 9,178.80 and 1,960.80

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Solution

The fourth proportional to 6,122.16, 9,178.80 and 1,960.80 is: 2,939.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,122.16 : 9,178.80 = 1,960.80 : x
  2. Step 2: Convert to fraction form
    6,122.16/9,178.80 = 1,960.80/x
  3. Step 3: Cross multiply
    6,122.16x = 9,178.80 × 1,960.80
  4. Step 4: Simplify right side
    6,122.16x = 17,997,791.04
  5. Step 5: Solve for x
    x = 17,997,791.04/6,122.16
  6. Step 6: Final answer
    x = 2,939.78

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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.