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Finding the Fourth Proportional to 6,429.22, 9,640.99 and 2,268

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Solution

The fourth proportional to 6,429.22, 9,640.99 and 2,268 is: 3,401.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,429.22 : 9,640.99 = 2,268 : x
  2. Step 2: Convert to fraction form
    6,429.22/9,640.99 = 2,268/x
  3. Step 3: Cross multiply
    6,429.22x = 9,640.99 × 2,268
  4. Step 4: Simplify right side
    6,429.22x = 21,865,753.98
  5. Step 5: Solve for x
    x = 21,865,753.98/6,429.22
  6. Step 6: Final answer
    x = 3,401.00

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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.