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Finding the Fourth Proportional to 9,976.43, 13,772.76 and 7,733.27

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Solution

The fourth proportional to 9,976.43, 13,772.76 and 7,733.27 is: 10,676.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,976.43 : 13,772.76 = 7,733.27 : x
  2. Step 2: Convert to fraction form
    9,976.43/13,772.76 = 7,733.27/x
  3. Step 3: Cross multiply
    9,976.43x = 13,772.76 × 7,733.27
  4. Step 4: Simplify right side
    9,976.43x = 106,508,471.73
  5. Step 5: Solve for x
    x = 106,508,471.73/9,976.43
  6. Step 6: Final answer
    x = 10,676.01

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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.