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Finding the Fourth Proportional to 9,593.29, 13,238.38 and 5,344.25

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Solution

The fourth proportional to 9,593.29, 13,238.38 and 5,344.25 is: 7,374.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,593.29 : 13,238.38 = 5,344.25 : x
  2. Step 2: Convert to fraction form
    9,593.29/13,238.38 = 5,344.25/x
  3. Step 3: Cross multiply
    9,593.29x = 13,238.38 × 5,344.25
  4. Step 4: Simplify right side
    9,593.29x = 70,749,212.32
  5. Step 5: Solve for x
    x = 70,749,212.32/9,593.29
  6. Step 6: Final answer
    x = 7,374.86

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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.