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Finding the Fourth Proportional to 6,796.24, 9,376.68 and 3,811.64

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Solution

The fourth proportional to 6,796.24, 9,376.68 and 3,811.64 is: 5,258.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,796.24 : 9,376.68 = 3,811.64 : x
  2. Step 2: Convert to fraction form
    6,796.24/9,376.68 = 3,811.64/x
  3. Step 3: Cross multiply
    6,796.24x = 9,376.68 × 3,811.64
  4. Step 4: Simplify right side
    6,796.24x = 35,740,528.56
  5. Step 5: Solve for x
    x = 35,740,528.56/6,796.24
  6. Step 6: Final answer
    x = 5,258.87

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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.