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Finding the Fourth Proportional to 6,811.82, 9,400.67 and 3,979.16

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Solution

The fourth proportional to 6,811.82, 9,400.67 and 3,979.16 is: 5,491.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,811.82 : 9,400.67 = 3,979.16 : x
  2. Step 2: Convert to fraction form
    6,811.82/9,400.67 = 3,979.16/x
  3. Step 3: Cross multiply
    6,811.82x = 9,400.67 × 3,979.16
  4. Step 4: Simplify right side
    6,811.82x = 37,406,703.14
  5. Step 5: Solve for x
    x = 37,406,703.14/6,811.82
  6. Step 6: Final answer
    x = 5,491.44

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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.