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Finding the Fourth Proportional to 6,767.68, 9,338.70 and 3,783.43

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Solution

The fourth proportional to 6,767.68, 9,338.70 and 3,783.43 is: 5,220.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,767.68 : 9,338.70 = 3,783.43 : x
  2. Step 2: Convert to fraction form
    6,767.68/9,338.70 = 3,783.43/x
  3. Step 3: Cross multiply
    6,767.68x = 9,338.70 × 3,783.43
  4. Step 4: Simplify right side
    6,767.68x = 35,332,317.74
  5. Step 5: Solve for x
    x = 35,332,317.74/6,767.68
  6. Step 6: Final answer
    x = 5,220.74

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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.