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Finding the Fourth Proportional to 6,781.61, 9,358.16 and 3,797.70

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Solution

The fourth proportional to 6,781.61, 9,358.16 and 3,797.70 is: 5,240.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,781.61 : 9,358.16 = 3,797.70 : x
  2. Step 2: Convert to fraction form
    6,781.61/9,358.16 = 3,797.70/x
  3. Step 3: Cross multiply
    6,781.61x = 9,358.16 × 3,797.70
  4. Step 4: Simplify right side
    6,781.61x = 35,539,465.24
  5. Step 5: Solve for x
    x = 35,539,465.24/6,781.61
  6. Step 6: Final answer
    x = 5,240.57

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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.