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Finding the Fourth Proportional to 6,767.48, 9,338.94 and 3,783.32

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Solution

The fourth proportional to 6,767.48, 9,338.94 and 3,783.32 is: 5,220.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,767.48 : 9,338.94 = 3,783.32 : x
  2. Step 2: Convert to fraction form
    6,767.48/9,338.94 = 3,783.32/x
  3. Step 3: Cross multiply
    6,767.48x = 9,338.94 × 3,783.32
  4. Step 4: Simplify right side
    6,767.48x = 35,332,198.48
  5. Step 5: Solve for x
    x = 35,332,198.48/6,767.48
  6. Step 6: Final answer
    x = 5,220.88

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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.