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Finding the Fourth Proportional to 6,627.91, 9,942.27 and 2,731

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Solution

The fourth proportional to 6,627.91, 9,942.27 and 2,731 is: 4,096.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,627.91 : 9,942.27 = 2,731 : x
  2. Step 2: Convert to fraction form
    6,627.91/9,942.27 = 2,731/x
  3. Step 3: Cross multiply
    6,627.91x = 9,942.27 × 2,731
  4. Step 4: Simplify right side
    6,627.91x = 27,152,339.37
  5. Step 5: Solve for x
    x = 27,152,339.37/6,627.91
  6. Step 6: Final answer
    x = 4,096.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.