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Finding the Fourth Proportional to 9,589.93, 14,382.04 and 4,321.90

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Solution

The fourth proportional to 9,589.93, 14,382.04 and 4,321.90 is: 6,481.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,589.93 : 14,382.04 = 4,321.90 : x
  2. Step 2: Convert to fraction form
    9,589.93/14,382.04 = 4,321.90/x
  3. Step 3: Cross multiply
    9,589.93x = 14,382.04 × 4,321.90
  4. Step 4: Simplify right side
    9,589.93x = 62,157,738.68
  5. Step 5: Solve for x
    x = 62,157,738.68/9,589.93
  6. Step 6: Final answer
    x = 6,481.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.