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Finding the Fourth Proportional to 9,694.01, 14,543.93 and 3,453.21

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Solution

The fourth proportional to 9,694.01, 14,543.93 and 3,453.21 is: 5,180.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,694.01 : 14,543.93 = 3,453.21 : x
  2. Step 2: Convert to fraction form
    9,694.01/14,543.93 = 3,453.21/x
  3. Step 3: Cross multiply
    9,694.01x = 14,543.93 × 3,453.21
  4. Step 4: Simplify right side
    9,694.01x = 50,223,198.61
  5. Step 5: Solve for x
    x = 50,223,198.61/9,694.01
  6. Step 6: Final answer
    x = 5,180.85

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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.