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Finding the Fourth Proportional to 9,453.43, 14,178.93 and 3,213.19

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Solution

The fourth proportional to 9,453.43, 14,178.93 and 3,213.19 is: 4,819.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,453.43 : 14,178.93 = 3,213.19 : x
  2. Step 2: Convert to fraction form
    9,453.43/14,178.93 = 3,213.19/x
  3. Step 3: Cross multiply
    9,453.43x = 14,178.93 × 3,213.19
  4. Step 4: Simplify right side
    9,453.43x = 45,559,596.09
  5. Step 5: Solve for x
    x = 45,559,596.09/9,453.43
  6. Step 6: Final answer
    x = 4,819.37

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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.