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Finding the Fourth Proportional to 6,796.36, 9,378.30 and 4,144.42

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Solution

The fourth proportional to 6,796.36, 9,378.30 and 4,144.42 is: 5,718.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,796.36 : 9,378.30 = 4,144.42 : x
  2. Step 2: Convert to fraction form
    6,796.36/9,378.30 = 4,144.42/x
  3. Step 3: Cross multiply
    6,796.36x = 9,378.30 × 4,144.42
  4. Step 4: Simplify right side
    6,796.36x = 38,867,614.09
  5. Step 5: Solve for x
    x = 38,867,614.09/6,796.36
  6. Step 6: Final answer
    x = 5,718.89

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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.