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Finding the Fourth Proportional to 9,446.70, 14,170.73 and 3,204.18

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Solution

The fourth proportional to 9,446.70, 14,170.73 and 3,204.18 is: 4,806.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,446.70 : 14,170.73 = 3,204.18 : x
  2. Step 2: Convert to fraction form
    9,446.70/14,170.73 = 3,204.18/x
  3. Step 3: Cross multiply
    9,446.70x = 14,170.73 × 3,204.18
  4. Step 4: Simplify right side
    9,446.70x = 45,405,625.03
  5. Step 5: Solve for x
    x = 45,405,625.03/9,446.70
  6. Step 6: Final answer
    x = 4,806.51

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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.