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Finding the Fourth Proportional to 9,496.97, 14,247.12 and 3,257.64

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Solution

The fourth proportional to 9,496.97, 14,247.12 and 3,257.64 is: 4,887.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,496.97 : 14,247.12 = 3,257.64 : x
  2. Step 2: Convert to fraction form
    9,496.97/14,247.12 = 3,257.64/x
  3. Step 3: Cross multiply
    9,496.97x = 14,247.12 × 3,257.64
  4. Step 4: Simplify right side
    9,496.97x = 46,412,000.21
  5. Step 5: Solve for x
    x = 46,412,000.21/9,496.97
  6. Step 6: Final answer
    x = 4,887.03

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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.