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Finding the Fourth Proportional to 9,553.29, 13,189.03 and 6,365.75

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Solution

The fourth proportional to 9,553.29, 13,189.03 and 6,365.75 is: 8,788.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,553.29 : 13,189.03 = 6,365.75 : x
  2. Step 2: Convert to fraction form
    9,553.29/13,189.03 = 6,365.75/x
  3. Step 3: Cross multiply
    9,553.29x = 13,189.03 × 6,365.75
  4. Step 4: Simplify right side
    9,553.29x = 83,958,067.72
  5. Step 5: Solve for x
    x = 83,958,067.72/9,553.29
  6. Step 6: Final answer
    x = 8,788.39

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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.