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Finding the Fourth Proportional to 6,816.80, 9,407.76 and 3,833.12

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Solution

The fourth proportional to 6,816.80, 9,407.76 and 3,833.12 is: 5,290.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,816.80 : 9,407.76 = 3,833.12 : x
  2. Step 2: Convert to fraction form
    6,816.80/9,407.76 = 3,833.12/x
  3. Step 3: Cross multiply
    6,816.80x = 9,407.76 × 3,833.12
  4. Step 4: Simplify right side
    6,816.80x = 36,061,073.01
  5. Step 5: Solve for x
    x = 36,061,073.01/6,816.80
  6. Step 6: Final answer
    x = 5,290.03

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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.