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Finding the Fourth Proportional to 6,914.73, 9,542.89 and 3,931.50

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Solution

The fourth proportional to 6,914.73, 9,542.89 and 3,931.50 is: 5,425.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,914.73 : 9,542.89 = 3,931.50 : x
  2. Step 2: Convert to fraction form
    6,914.73/9,542.89 = 3,931.50/x
  3. Step 3: Cross multiply
    6,914.73x = 9,542.89 × 3,931.50
  4. Step 4: Simplify right side
    6,914.73x = 37,517,824.32
  5. Step 5: Solve for x
    x = 37,517,824.32/6,914.73
  6. Step 6: Final answer
    x = 5,425.79

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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.