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Finding the Fourth Proportional to 6,936.87, 9,572.40 and 4,381.66

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Solution

The fourth proportional to 6,936.87, 9,572.40 and 4,381.66 is: 6,046.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,936.87 : 9,572.40 = 4,381.66 : x
  2. Step 2: Convert to fraction form
    6,936.87/9,572.40 = 4,381.66/x
  3. Step 3: Cross multiply
    6,936.87x = 9,572.40 × 4,381.66
  4. Step 4: Simplify right side
    6,936.87x = 41,942,960.30
  5. Step 5: Solve for x
    x = 41,942,960.30/6,936.87
  6. Step 6: Final answer
    x = 6,046.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.