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Finding the Fourth Proportional to 6,544.84, 9,801.42 and 3,942.04

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Solution

The fourth proportional to 6,544.84, 9,801.42 and 3,942.04 is: 5,903.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,544.84 : 9,801.42 = 3,942.04 : x
  2. Step 2: Convert to fraction form
    6,544.84/9,801.42 = 3,942.04/x
  3. Step 3: Cross multiply
    6,544.84x = 9,801.42 × 3,942.04
  4. Step 4: Simplify right side
    6,544.84x = 38,637,589.70
  5. Step 5: Solve for x
    x = 38,637,589.70/6,544.84
  6. Step 6: Final answer
    x = 5,903.52

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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.