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Finding the Fourth Proportional to 6,809.13, 9,396.63 and 3,825.99

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Solution

The fourth proportional to 6,809.13, 9,396.63 and 3,825.99 is: 5,279.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,809.13 : 9,396.63 = 3,825.99 : x
  2. Step 2: Convert to fraction form
    6,809.13/9,396.63 = 3,825.99/x
  3. Step 3: Cross multiply
    6,809.13x = 9,396.63 × 3,825.99
  4. Step 4: Simplify right side
    6,809.13x = 35,951,412.41
  5. Step 5: Solve for x
    x = 35,951,412.41/6,809.13
  6. Step 6: Final answer
    x = 5,279.88

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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.