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Finding the Fourth Proportional to 6,809.33, 9,397.12 and 3,825.10

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Solution

The fourth proportional to 6,809.33, 9,397.12 and 3,825.10 is: 5,278.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,809.33 : 9,397.12 = 3,825.10 : x
  2. Step 2: Convert to fraction form
    6,809.33/9,397.12 = 3,825.10/x
  3. Step 3: Cross multiply
    6,809.33x = 9,397.12 × 3,825.10
  4. Step 4: Simplify right side
    6,809.33x = 35,944,923.71
  5. Step 5: Solve for x
    x = 35,944,923.71/6,809.33
  6. Step 6: Final answer
    x = 5,278.78

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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.