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Finding the Fourth Proportional to 6,810.71, 9,399.02 and 3,826.48

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Solution

The fourth proportional to 6,810.71, 9,399.02 and 3,826.48 is: 5,280.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,810.71 : 9,399.02 = 3,826.48 : x
  2. Step 2: Convert to fraction form
    6,810.71/9,399.02 = 3,826.48/x
  3. Step 3: Cross multiply
    6,810.71x = 9,399.02 × 3,826.48
  4. Step 4: Simplify right side
    6,810.71x = 35,965,162.05
  5. Step 5: Solve for x
    x = 35,965,162.05/6,810.71
  6. Step 6: Final answer
    x = 5,280.68

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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.