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Finding the Fourth Proportional to 6,781.64, 9,358.49 and 3,797.67

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Solution

The fourth proportional to 6,781.64, 9,358.49 and 3,797.67 is: 5,240.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,781.64 : 9,358.49 = 3,797.67 : x
  2. Step 2: Convert to fraction form
    6,781.64/9,358.49 = 3,797.67/x
  3. Step 3: Cross multiply
    6,781.64x = 9,358.49 × 3,797.67
  4. Step 4: Simplify right side
    6,781.64x = 35,540,456.72
  5. Step 5: Solve for x
    x = 35,540,456.72/6,781.64
  6. Step 6: Final answer
    x = 5,240.69

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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.