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Finding the Fourth Proportional to 9,694.10, 14,542.39 and 3,454.74

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Solution

The fourth proportional to 9,694.10, 14,542.39 and 3,454.74 is: 5,182.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,694.10 : 14,542.39 = 3,454.74 : x
  2. Step 2: Convert to fraction form
    9,694.10/14,542.39 = 3,454.74/x
  3. Step 3: Cross multiply
    9,694.10x = 14,542.39 × 3,454.74
  4. Step 4: Simplify right side
    9,694.10x = 50,240,163.87
  5. Step 5: Solve for x
    x = 50,240,163.87/9,694.10
  6. Step 6: Final answer
    x = 5,182.55

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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.