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Finding the Fourth Proportional to 6,142.20, 9,213.08 and 1,759.65

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Solution

The fourth proportional to 6,142.20, 9,213.08 and 1,759.65 is: 2,639.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,142.20 : 9,213.08 = 1,759.65 : x
  2. Step 2: Convert to fraction form
    6,142.20/9,213.08 = 1,759.65/x
  3. Step 3: Cross multiply
    6,142.20x = 9,213.08 × 1,759.65
  4. Step 4: Simplify right side
    6,142.20x = 16,211,787.42
  5. Step 5: Solve for x
    x = 16,211,787.42/6,142.20
  6. Step 6: Final answer
    x = 2,639.41

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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.