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Finding the Fourth Proportional to 6,810.40, 9,399.29 and 3,826.46

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Solution

The fourth proportional to 6,810.40, 9,399.29 and 3,826.46 is: 5,281.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,810.40 : 9,399.29 = 3,826.46 : x
  2. Step 2: Convert to fraction form
    6,810.40/9,399.29 = 3,826.46/x
  3. Step 3: Cross multiply
    6,810.40x = 9,399.29 × 3,826.46
  4. Step 4: Simplify right side
    6,810.40x = 35,965,993.28
  5. Step 5: Solve for x
    x = 35,965,993.28/6,810.40
  6. Step 6: Final answer
    x = 5,281.04

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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.