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Finding the Fourth Proportional to 6,906.89, 9,527.57 and 4,252.41

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Solution

The fourth proportional to 6,906.89, 9,527.57 and 4,252.41 is: 5,865.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,906.89 : 9,527.57 = 4,252.41 : x
  2. Step 2: Convert to fraction form
    6,906.89/9,527.57 = 4,252.41/x
  3. Step 3: Cross multiply
    6,906.89x = 9,527.57 × 4,252.41
  4. Step 4: Simplify right side
    6,906.89x = 40,515,112.68
  5. Step 5: Solve for x
    x = 40,515,112.68/6,906.89
  6. Step 6: Final answer
    x = 5,865.90

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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.