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Finding the Fourth Proportional to 9,593.15, 13,229.24 and 5,816.93

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Solution

The fourth proportional to 9,593.15, 13,229.24 and 5,816.93 is: 8,021.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,593.15 : 13,229.24 = 5,816.93 : x
  2. Step 2: Convert to fraction form
    9,593.15/13,229.24 = 5,816.93/x
  3. Step 3: Cross multiply
    9,593.15x = 13,229.24 × 5,816.93
  4. Step 4: Simplify right side
    9,593.15x = 76,953,467.80
  5. Step 5: Solve for x
    x = 76,953,467.80/9,593.15
  6. Step 6: Final answer
    x = 8,021.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.