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Finding the Fourth Proportional to 6,826.59, 9,421.94 and 3,993.80

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Solution

The fourth proportional to 6,826.59, 9,421.94 and 3,993.80 is: 5,512.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,826.59 : 9,421.94 = 3,993.80 : x
  2. Step 2: Convert to fraction form
    6,826.59/9,421.94 = 3,993.80/x
  3. Step 3: Cross multiply
    6,826.59x = 9,421.94 × 3,993.80
  4. Step 4: Simplify right side
    6,826.59x = 37,629,306.85
  5. Step 5: Solve for x
    x = 37,629,306.85/6,826.59
  6. Step 6: Final answer
    x = 5,512.17

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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.