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Finding the Fourth Proportional to 6,816.80, 9,406.85 and 3,832.92

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Solution

The fourth proportional to 6,816.80, 9,406.85 and 3,832.92 is: 5,289.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,816.80 : 9,406.85 = 3,832.92 : x
  2. Step 2: Convert to fraction form
    6,816.80/9,406.85 = 3,832.92/x
  3. Step 3: Cross multiply
    6,816.80x = 9,406.85 × 3,832.92
  4. Step 4: Simplify right side
    6,816.80x = 36,055,703.50
  5. Step 5: Solve for x
    x = 36,055,703.50/6,816.80
  6. Step 6: Final answer
    x = 5,289.24

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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.