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Finding the Fourth Proportional to 6,767.96, 9,338.67 and 3,783.90

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Solution

The fourth proportional to 6,767.96, 9,338.67 and 3,783.90 is: 5,221.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,767.96 : 9,338.67 = 3,783.90 : x
  2. Step 2: Convert to fraction form
    6,767.96/9,338.67 = 3,783.90/x
  3. Step 3: Cross multiply
    6,767.96x = 9,338.67 × 3,783.90
  4. Step 4: Simplify right side
    6,767.96x = 35,336,628.43
  5. Step 5: Solve for x
    x = 35,336,628.43/6,767.96
  6. Step 6: Final answer
    x = 5,221.16

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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.