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Finding the Fourth Proportional to 6,767.49, 9,338.81 and 3,783.30

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Solution

The fourth proportional to 6,767.49, 9,338.81 and 3,783.30 is: 5,220.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,767.49 : 9,338.81 = 3,783.30 : x
  2. Step 2: Convert to fraction form
    6,767.49/9,338.81 = 3,783.30/x
  3. Step 3: Cross multiply
    6,767.49x = 9,338.81 × 3,783.30
  4. Step 4: Simplify right side
    6,767.49x = 35,331,519.87
  5. Step 5: Solve for x
    x = 35,331,519.87/6,767.49
  6. Step 6: Final answer
    x = 5,220.77

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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.