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Finding the Fourth Proportional to 6,795.82, 9,377.68 and 3,811.24

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Solution

The fourth proportional to 6,795.82, 9,377.68 and 3,811.24 is: 5,259.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,795.82 : 9,377.68 = 3,811.24 : x
  2. Step 2: Convert to fraction form
    6,795.82/9,377.68 = 3,811.24/x
  3. Step 3: Cross multiply
    6,795.82x = 9,377.68 × 3,811.24
  4. Step 4: Simplify right side
    6,795.82x = 35,740,589.12
  5. Step 5: Solve for x
    x = 35,740,589.12/6,795.82
  6. Step 6: Final answer
    x = 5,259.20

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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.