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Finding the Fourth Proportional to 6,556.14, 9,826.01 and 5,163.99

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Solution

The fourth proportional to 6,556.14, 9,826.01 and 5,163.99 is: 7,739.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,556.14 : 9,826.01 = 5,163.99 : x
  2. Step 2: Convert to fraction form
    6,556.14/9,826.01 = 5,163.99/x
  3. Step 3: Cross multiply
    6,556.14x = 9,826.01 × 5,163.99
  4. Step 4: Simplify right side
    6,556.14x = 50,741,391.56
  5. Step 5: Solve for x
    x = 50,741,391.56/6,556.14
  6. Step 6: Final answer
    x = 7,739.52

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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.