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Finding the Fourth Proportional to 6,768.17, 9,340.01 and 3,743.42

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Solution

The fourth proportional to 6,768.17, 9,340.01 and 3,743.42 is: 5,165.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,768.17 : 9,340.01 = 3,743.42 : x
  2. Step 2: Convert to fraction form
    6,768.17/9,340.01 = 3,743.42/x
  3. Step 3: Cross multiply
    6,768.17x = 9,340.01 × 3,743.42
  4. Step 4: Simplify right side
    6,768.17x = 34,963,561.52
  5. Step 5: Solve for x
    x = 34,963,561.52/6,768.17
  6. Step 6: Final answer
    x = 5,165.88

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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.