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Finding the Fourth Proportional to 9,620.81, 13,247.10 and 8,201.31

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Solution

The fourth proportional to 9,620.81, 13,247.10 and 8,201.31 is: 11,292.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,620.81 : 13,247.10 = 8,201.31 : x
  2. Step 2: Convert to fraction form
    9,620.81/13,247.10 = 8,201.31/x
  3. Step 3: Cross multiply
    9,620.81x = 13,247.10 × 8,201.31
  4. Step 4: Simplify right side
    9,620.81x = 108,643,573.70
  5. Step 5: Solve for x
    x = 108,643,573.70/9,620.81
  6. Step 6: Final answer
    x = 11,292.57

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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.