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Finding the Fourth Proportional to 6,817.94, 9,408.24 and 3,833.19

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Solution

The fourth proportional to 6,817.94, 9,408.24 and 3,833.19 is: 5,289.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,817.94 : 9,408.24 = 3,833.19 : x
  2. Step 2: Convert to fraction form
    6,817.94/9,408.24 = 3,833.19/x
  3. Step 3: Cross multiply
    6,817.94x = 9,408.24 × 3,833.19
  4. Step 4: Simplify right side
    6,817.94x = 36,063,571.49
  5. Step 5: Solve for x
    x = 36,063,571.49/6,817.94
  6. Step 6: Final answer
    x = 5,289.52

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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.