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Finding the Fourth Proportional to 6,767.36, 9,338.33 and 3,782.78

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Solution

The fourth proportional to 6,767.36, 9,338.33 and 3,782.78 is: 5,219.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,767.36 : 9,338.33 = 3,782.78 : x
  2. Step 2: Convert to fraction form
    6,767.36/9,338.33 = 3,782.78/x
  3. Step 3: Cross multiply
    6,767.36x = 9,338.33 × 3,782.78
  4. Step 4: Simplify right side
    6,767.36x = 35,324,782.35
  5. Step 5: Solve for x
    x = 35,324,782.35/6,767.36
  6. Step 6: Final answer
    x = 5,219.88

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