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Finding the Fourth Proportional to 6,535.44, 9,797.64 and 2,834.88

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Solution

The fourth proportional to 6,535.44, 9,797.64 and 2,834.88 is: 4,249.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,535.44 : 9,797.64 = 2,834.88 : x
  2. Step 2: Convert to fraction form
    6,535.44/9,797.64 = 2,834.88/x
  3. Step 3: Cross multiply
    6,535.44x = 9,797.64 × 2,834.88
  4. Step 4: Simplify right side
    6,535.44x = 27,775,084.70
  5. Step 5: Solve for x
    x = 27,775,084.70/6,535.44
  6. Step 6: Final answer
    x = 4,249.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.