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Finding the Fourth Proportional to 6,811.44, 9,399.78 and 3,980.76

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Solution

The fourth proportional to 6,811.44, 9,399.78 and 3,980.76 is: 5,493.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,811.44 : 9,399.78 = 3,980.76 : x
  2. Step 2: Convert to fraction form
    6,811.44/9,399.78 = 3,980.76/x
  3. Step 3: Cross multiply
    6,811.44x = 9,399.78 × 3,980.76
  4. Step 4: Simplify right side
    6,811.44x = 37,418,268.23
  5. Step 5: Solve for x
    x = 37,418,268.23/6,811.44
  6. Step 6: Final answer
    x = 5,493.44

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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.