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Finding the Fourth Proportional to 9,433.68, 14,149.70 and 3,193.56

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Solution

The fourth proportional to 9,433.68, 14,149.70 and 3,193.56 is: 4,790.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,433.68 : 14,149.70 = 3,193.56 : x
  2. Step 2: Convert to fraction form
    9,433.68/14,149.70 = 3,193.56/x
  3. Step 3: Cross multiply
    9,433.68x = 14,149.70 × 3,193.56
  4. Step 4: Simplify right side
    9,433.68x = 45,187,845.18
  5. Step 5: Solve for x
    x = 45,187,845.18/9,433.68
  6. Step 6: Final answer
    x = 4,790.05

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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.