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Finding the Fourth Proportional to 9,496.72, 14,245.03 and 2,571.22

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Solution

The fourth proportional to 9,496.72, 14,245.03 and 2,571.22 is: 3,856.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,496.72 : 14,245.03 = 2,571.22 : x
  2. Step 2: Convert to fraction form
    9,496.72/14,245.03 = 2,571.22/x
  3. Step 3: Cross multiply
    9,496.72x = 14,245.03 × 2,571.22
  4. Step 4: Simplify right side
    9,496.72x = 36,627,106.04
  5. Step 5: Solve for x
    x = 36,627,106.04/9,496.72
  6. Step 6: Final answer
    x = 3,856.82

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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.