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Finding the Fourth Proportional to 6,544.42, 9,817.18 and 2,846.78

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Solution

The fourth proportional to 6,544.42, 9,817.18 and 2,846.78 is: 4,270.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,544.42 : 9,817.18 = 2,846.78 : x
  2. Step 2: Convert to fraction form
    6,544.42/9,817.18 = 2,846.78/x
  3. Step 3: Cross multiply
    6,544.42x = 9,817.18 × 2,846.78
  4. Step 4: Simplify right side
    6,544.42x = 27,947,351.68
  5. Step 5: Solve for x
    x = 27,947,351.68/6,544.42
  6. Step 6: Final answer
    x = 4,270.41

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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.