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Finding the Fourth Proportional to 9,189.13, 12,675.65 and 6,668.31

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Solution

The fourth proportional to 9,189.13, 12,675.65 and 6,668.31 is: 9,198.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,189.13 : 12,675.65 = 6,668.31 : x
  2. Step 2: Convert to fraction form
    9,189.13/12,675.65 = 6,668.31/x
  3. Step 3: Cross multiply
    9,189.13x = 12,675.65 × 6,668.31
  4. Step 4: Simplify right side
    9,189.13x = 84,525,163.65
  5. Step 5: Solve for x
    x = 84,525,163.65/9,189.13
  6. Step 6: Final answer
    x = 9,198.39

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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.