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Finding the Fourth Proportional to 6,781.26, 9,358.05 and 3,797.07

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Solution

The fourth proportional to 6,781.26, 9,358.05 and 3,797.07 is: 5,239.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,781.26 : 9,358.05 = 3,797.07 : x
  2. Step 2: Convert to fraction form
    6,781.26/9,358.05 = 3,797.07/x
  3. Step 3: Cross multiply
    6,781.26x = 9,358.05 × 3,797.07
  4. Step 4: Simplify right side
    6,781.26x = 35,533,170.91
  5. Step 5: Solve for x
    x = 35,533,170.91/6,781.26
  6. Step 6: Final answer
    x = 5,239.91

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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.