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Finding the Fourth Proportional to 6,809.43, 9,397.29 and 3,825.21

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Solution

The fourth proportional to 6,809.43, 9,397.29 and 3,825.21 is: 5,278.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,809.43 : 9,397.29 = 3,825.21 : x
  2. Step 2: Convert to fraction form
    6,809.43/9,397.29 = 3,825.21/x
  3. Step 3: Cross multiply
    6,809.43x = 9,397.29 × 3,825.21
  4. Step 4: Simplify right side
    6,809.43x = 35,946,607.68
  5. Step 5: Solve for x
    x = 35,946,607.68/6,809.43
  6. Step 6: Final answer
    x = 5,278.95

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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.