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Finding the Fourth Proportional to 9,593.45, 13,240.43 and 5,817.23

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Solution

The fourth proportional to 9,593.45, 13,240.43 and 5,817.23 is: 8,028.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,593.45 : 13,240.43 = 5,817.23 : x
  2. Step 2: Convert to fraction form
    9,593.45/13,240.43 = 5,817.23/x
  3. Step 3: Cross multiply
    9,593.45x = 13,240.43 × 5,817.23
  4. Step 4: Simplify right side
    9,593.45x = 77,022,531.32
  5. Step 5: Solve for x
    x = 77,022,531.32/9,593.45
  6. Step 6: Final answer
    x = 8,028.66

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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.