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Finding the Fourth Proportional to 6,767.57, 9,339.42 and 3,783.90

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Solution

The fourth proportional to 6,767.57, 9,339.42 and 3,783.90 is: 5,221.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,767.57 : 9,339.42 = 3,783.90 : x
  2. Step 2: Convert to fraction form
    6,767.57/9,339.42 = 3,783.90/x
  3. Step 3: Cross multiply
    6,767.57x = 9,339.42 × 3,783.90
  4. Step 4: Simplify right side
    6,767.57x = 35,339,431.34
  5. Step 5: Solve for x
    x = 35,339,431.34/6,767.57
  6. Step 6: Final answer
    x = 5,221.88

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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.