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Finding the Fourth Proportional to 6,743.82, 9,295.65 and 4,086.21

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Solution

The fourth proportional to 6,743.82, 9,295.65 and 4,086.21 is: 5,632.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,743.82 : 9,295.65 = 4,086.21 : x
  2. Step 2: Convert to fraction form
    6,743.82/9,295.65 = 4,086.21/x
  3. Step 3: Cross multiply
    6,743.82x = 9,295.65 × 4,086.21
  4. Step 4: Simplify right side
    6,743.82x = 37,983,977.99
  5. Step 5: Solve for x
    x = 37,983,977.99/6,743.82
  6. Step 6: Final answer
    x = 5,632.41

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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.