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Finding the Fourth Proportional to 6,765.93, 9,338.49 and 4,112.78

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Solution

The fourth proportional to 6,765.93, 9,338.49 and 4,112.78 is: 5,676.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,765.93 : 9,338.49 = 4,112.78 : x
  2. Step 2: Convert to fraction form
    6,765.93/9,338.49 = 4,112.78/x
  3. Step 3: Cross multiply
    6,765.93x = 9,338.49 × 4,112.78
  4. Step 4: Simplify right side
    6,765.93x = 38,407,108.21
  5. Step 5: Solve for x
    x = 38,407,108.21/6,765.93
  6. Step 6: Final answer
    x = 5,676.55

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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.