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Finding the Fourth Proportional to 6,267.71, 9,400.49 and 2,936.31

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Solution

The fourth proportional to 6,267.71, 9,400.49 and 2,936.31 is: 4,403.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,267.71 : 9,400.49 = 2,936.31 : x
  2. Step 2: Convert to fraction form
    6,267.71/9,400.49 = 2,936.31/x
  3. Step 3: Cross multiply
    6,267.71x = 9,400.49 × 2,936.31
  4. Step 4: Simplify right side
    6,267.71x = 27,602,760.13
  5. Step 5: Solve for x
    x = 27,602,760.13/6,267.71
  6. Step 6: Final answer
    x = 4,403.97

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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.