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Finding the Fourth Proportional to 9,819.97, 13,551.24 and 5,571.43

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Solution

The fourth proportional to 9,819.97, 13,551.24 and 5,571.43 is: 7,688.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,819.97 : 13,551.24 = 5,571.43 : x
  2. Step 2: Convert to fraction form
    9,819.97/13,551.24 = 5,571.43/x
  3. Step 3: Cross multiply
    9,819.97x = 13,551.24 × 5,571.43
  4. Step 4: Simplify right side
    9,819.97x = 75,499,785.07
  5. Step 5: Solve for x
    x = 75,499,785.07/9,819.97
  6. Step 6: Final answer
    x = 7,688.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.