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Finding the Fourth Proportional to 9,760.50, 13,471.92 and 5,571.18

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Solution

The fourth proportional to 9,760.50, 13,471.92 and 5,571.18 is: 7,689.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,760.50 : 13,471.92 = 5,571.18 : x
  2. Step 2: Convert to fraction form
    9,760.50/13,471.92 = 5,571.18/x
  3. Step 3: Cross multiply
    9,760.50x = 13,471.92 × 5,571.18
  4. Step 4: Simplify right side
    9,760.50x = 75,054,491.27
  5. Step 5: Solve for x
    x = 75,054,491.27/9,760.50
  6. Step 6: Final answer
    x = 7,689.62

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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.