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Finding the Fourth Proportional to 6,936.54, 9,572.50 and 3,952.38

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Solution

The fourth proportional to 6,936.54, 9,572.50 and 3,952.38 is: 5,454.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,936.54 : 9,572.50 = 3,952.38 : x
  2. Step 2: Convert to fraction form
    6,936.54/9,572.50 = 3,952.38/x
  3. Step 3: Cross multiply
    6,936.54x = 9,572.50 × 3,952.38
  4. Step 4: Simplify right side
    6,936.54x = 37,834,157.55
  5. Step 5: Solve for x
    x = 37,834,157.55/6,936.54
  6. Step 6: Final answer
    x = 5,454.33

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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.