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Finding the Fourth Proportional to 9,556.15, 13,198.68 and 8,715.37

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Solution

The fourth proportional to 9,556.15, 13,198.68 and 8,715.37 is: 12,037.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,556.15 : 13,198.68 = 8,715.37 : x
  2. Step 2: Convert to fraction form
    9,556.15/13,198.68 = 8,715.37/x
  3. Step 3: Cross multiply
    9,556.15x = 13,198.68 × 8,715.37
  4. Step 4: Simplify right side
    9,556.15x = 115,031,379.71
  5. Step 5: Solve for x
    x = 115,031,379.71/9,556.15
  6. Step 6: Final answer
    x = 12,037.42

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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.