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Finding the Fourth Proportional to 6,816.16, 9,406.18 and 4,163.57

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Solution

The fourth proportional to 6,816.16, 9,406.18 and 4,163.57 is: 5,745.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,816.16 : 9,406.18 = 4,163.57 : x
  2. Step 2: Convert to fraction form
    6,816.16/9,406.18 = 4,163.57/x
  3. Step 3: Cross multiply
    6,816.16x = 9,406.18 × 4,163.57
  4. Step 4: Simplify right side
    6,816.16x = 39,163,288.86
  5. Step 5: Solve for x
    x = 39,163,288.86/6,816.16
  6. Step 6: Final answer
    x = 5,745.65

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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.