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Finding the Fourth Proportional to 6,817.56, 9,408.06 and 3,833.28

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Solution

The fourth proportional to 6,817.56, 9,408.06 and 3,833.28 is: 5,289.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,817.56 : 9,408.06 = 3,833.28 : x
  2. Step 2: Convert to fraction form
    6,817.56/9,408.06 = 3,833.28/x
  3. Step 3: Cross multiply
    6,817.56x = 9,408.06 × 3,833.28
  4. Step 4: Simplify right side
    6,817.56x = 36,063,728.24
  5. Step 5: Solve for x
    x = 36,063,728.24/6,817.56
  6. Step 6: Final answer
    x = 5,289.83

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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.