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Finding the Fourth Proportional to 9,723.44, 14,591.07 and 3,879.56

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Solution

The fourth proportional to 9,723.44, 14,591.07 and 3,879.56 is: 5,821.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,723.44 : 14,591.07 = 3,879.56 : x
  2. Step 2: Convert to fraction form
    9,723.44/14,591.07 = 3,879.56/x
  3. Step 3: Cross multiply
    9,723.44x = 14,591.07 × 3,879.56
  4. Step 4: Simplify right side
    9,723.44x = 56,606,968.01
  5. Step 5: Solve for x
    x = 56,606,968.01/9,723.44
  6. Step 6: Final answer
    x = 5,821.70

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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.