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Finding the Fourth Proportional to 9,593.06, 13,234.89 and 5,813.49

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Solution

The fourth proportional to 9,593.06, 13,234.89 and 5,813.49 is: 8,020.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,593.06 : 13,234.89 = 5,813.49 : x
  2. Step 2: Convert to fraction form
    9,593.06/13,234.89 = 5,813.49/x
  3. Step 3: Cross multiply
    9,593.06x = 13,234.89 × 5,813.49
  4. Step 4: Simplify right side
    9,593.06x = 76,940,900.67
  5. Step 5: Solve for x
    x = 76,940,900.67/9,593.06
  6. Step 6: Final answer
    x = 8,020.48

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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.