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Finding the Fourth Proportional to 6,781.66, 9,358.43 and 3,797.34

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Solution

The fourth proportional to 6,781.66, 9,358.43 and 3,797.34 is: 5,240.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,781.66 : 9,358.43 = 3,797.34 : x
  2. Step 2: Convert to fraction form
    6,781.66/9,358.43 = 3,797.34/x
  3. Step 3: Cross multiply
    6,781.66x = 9,358.43 × 3,797.34
  4. Step 4: Simplify right side
    6,781.66x = 35,537,195.72
  5. Step 5: Solve for x
    x = 35,537,195.72/6,781.66
  6. Step 6: Final answer
    x = 5,240.19

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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.