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Finding the Fourth Proportional to 6,797.28, 9,380.18 and 3,813.12

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Solution

The fourth proportional to 6,797.28, 9,380.18 and 3,813.12 is: 5,262.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,797.28 : 9,380.18 = 3,813.12 : x
  2. Step 2: Convert to fraction form
    6,797.28/9,380.18 = 3,813.12/x
  3. Step 3: Cross multiply
    6,797.28x = 9,380.18 × 3,813.12
  4. Step 4: Simplify right side
    6,797.28x = 35,767,751.96
  5. Step 5: Solve for x
    x = 35,767,751.96/6,797.28
  6. Step 6: Final answer
    x = 5,262.07

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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.