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Finding the Fourth Proportional to 6,410.28, 9,615.04 and 3,811

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Solution

The fourth proportional to 6,410.28, 9,615.04 and 3,811 is: 5,716.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,410.28 : 9,615.04 = 3,811 : x
  2. Step 2: Convert to fraction form
    6,410.28/9,615.04 = 3,811/x
  3. Step 3: Cross multiply
    6,410.28x = 9,615.04 × 3,811
  4. Step 4: Simplify right side
    6,410.28x = 36,642,917.44
  5. Step 5: Solve for x
    x = 36,642,917.44/6,410.28
  6. Step 6: Final answer
    x = 5,716.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.