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Finding the Fourth Proportional to 9,591.87, 13,233.74 and 5,399.31

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Solution

The fourth proportional to 9,591.87, 13,233.74 and 5,399.31 is: 7,449.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,591.87 : 13,233.74 = 5,399.31 : x
  2. Step 2: Convert to fraction form
    9,591.87/13,233.74 = 5,399.31/x
  3. Step 3: Cross multiply
    9,591.87x = 13,233.74 × 5,399.31
  4. Step 4: Simplify right side
    9,591.87x = 71,453,037.72
  5. Step 5: Solve for x
    x = 71,453,037.72/9,591.87
  6. Step 6: Final answer
    x = 7,449.33

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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.