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Finding the Fourth Proportional to 9,198.99, 13,804.16 and 4,005.27

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Solution

The fourth proportional to 9,198.99, 13,804.16 and 4,005.27 is: 6,010.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,198.99 : 13,804.16 = 4,005.27 : x
  2. Step 2: Convert to fraction form
    9,198.99/13,804.16 = 4,005.27/x
  3. Step 3: Cross multiply
    9,198.99x = 13,804.16 × 4,005.27
  4. Step 4: Simplify right side
    9,198.99x = 55,289,367.90
  5. Step 5: Solve for x
    x = 55,289,367.90/9,198.99
  6. Step 6: Final answer
    x = 6,010.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.