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Finding the Fourth Proportional to 6,815.28, 9,405.42 and 3,832.05

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Solution

The fourth proportional to 6,815.28, 9,405.42 and 3,832.05 is: 5,288.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,815.28 : 9,405.42 = 3,832.05 : x
  2. Step 2: Convert to fraction form
    6,815.28/9,405.42 = 3,832.05/x
  3. Step 3: Cross multiply
    6,815.28x = 9,405.42 × 3,832.05
  4. Step 4: Simplify right side
    6,815.28x = 36,042,039.71
  5. Step 5: Solve for x
    x = 36,042,039.71/6,815.28
  6. Step 6: Final answer
    x = 5,288.42

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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.