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Finding the Fourth Proportional to 9,550.99, 13,169.71 and 6,189.39

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Solution

The fourth proportional to 9,550.99, 13,169.71 and 6,189.39 is: 8,534.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,550.99 : 13,169.71 = 6,189.39 : x
  2. Step 2: Convert to fraction form
    9,550.99/13,169.71 = 6,189.39/x
  3. Step 3: Cross multiply
    9,550.99x = 13,169.71 × 6,189.39
  4. Step 4: Simplify right side
    9,550.99x = 81,512,471.38
  5. Step 5: Solve for x
    x = 81,512,471.38/9,550.99
  6. Step 6: Final answer
    x = 8,534.45

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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.