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Finding the Fourth Proportional to 6,936.37, 9,572.58 and 4,105.42

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Solution

The fourth proportional to 6,936.37, 9,572.58 and 4,105.42 is: 5,665.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,936.37 : 9,572.58 = 4,105.42 : x
  2. Step 2: Convert to fraction form
    6,936.37/9,572.58 = 4,105.42/x
  3. Step 3: Cross multiply
    6,936.37x = 9,572.58 × 4,105.42
  4. Step 4: Simplify right side
    6,936.37x = 39,299,437.45
  5. Step 5: Solve for x
    x = 39,299,437.45/6,936.37
  6. Step 6: Final answer
    x = 5,665.71

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