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Finding the Fourth Proportional to 6,781.32, 9,357.97 and 3,797.01

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Solution

The fourth proportional to 6,781.32, 9,357.97 and 3,797.01 is: 5,239.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,781.32 : 9,357.97 = 3,797.01 : x
  2. Step 2: Convert to fraction form
    6,781.32/9,357.97 = 3,797.01/x
  3. Step 3: Cross multiply
    6,781.32x = 9,357.97 × 3,797.01
  4. Step 4: Simplify right side
    6,781.32x = 35,532,278.22
  5. Step 5: Solve for x
    x = 35,532,278.22/6,781.32
  6. Step 6: Final answer
    x = 5,239.73

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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.