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Finding the Fourth Proportional to 6,816.87, 9,408.15 and 4,163.72

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Solution

The fourth proportional to 6,816.87, 9,408.15 and 4,163.72 is: 5,746.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,816.87 : 9,408.15 = 4,163.72 : x
  2. Step 2: Convert to fraction form
    6,816.87/9,408.15 = 4,163.72/x
  3. Step 3: Cross multiply
    6,816.87x = 9,408.15 × 4,163.72
  4. Step 4: Simplify right side
    6,816.87x = 39,172,855.28
  5. Step 5: Solve for x
    x = 39,172,855.28/6,816.87
  6. Step 6: Final answer
    x = 5,746.46

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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.