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Finding the Fourth Proportional to 6,150.87, 9,209.88 and 3,223.04

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Solution

The fourth proportional to 6,150.87, 9,209.88 and 3,223.04 is: 4,825.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,150.87 : 9,209.88 = 3,223.04 : x
  2. Step 2: Convert to fraction form
    6,150.87/9,209.88 = 3,223.04/x
  3. Step 3: Cross multiply
    6,150.87x = 9,209.88 × 3,223.04
  4. Step 4: Simplify right side
    6,150.87x = 29,683,765.59
  5. Step 5: Solve for x
    x = 29,683,765.59/6,150.87
  6. Step 6: Final answer
    x = 4,825.95

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Why These Related Problems?

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