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Finding the Fourth Proportional to 6,753.94, 9,320.46 and 3,769.66

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Solution

The fourth proportional to 6,753.94, 9,320.46 and 3,769.66 is: 5,202.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,753.94 : 9,320.46 = 3,769.66 : x
  2. Step 2: Convert to fraction form
    6,753.94/9,320.46 = 3,769.66/x
  3. Step 3: Cross multiply
    6,753.94x = 9,320.46 × 3,769.66
  4. Step 4: Simplify right side
    6,753.94x = 35,134,965.24
  5. Step 5: Solve for x
    x = 35,134,965.24/6,753.94
  6. Step 6: Final answer
    x = 5,202.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.