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Finding the Fourth Proportional to 9,496.70, 14,229.45 and 3,253.31

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Solution

The fourth proportional to 9,496.70, 14,229.45 and 3,253.31 is: 4,874.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,496.70 : 14,229.45 = 3,253.31 : x
  2. Step 2: Convert to fraction form
    9,496.70/14,229.45 = 3,253.31/x
  3. Step 3: Cross multiply
    9,496.70x = 14,229.45 × 3,253.31
  4. Step 4: Simplify right side
    9,496.70x = 46,292,811.98
  5. Step 5: Solve for x
    x = 46,292,811.98/9,496.70
  6. Step 6: Final answer
    x = 4,874.62

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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.