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Finding the Fourth Proportional to 9,694.60, 14,533.26 and 3,847.24

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Solution

The fourth proportional to 9,694.60, 14,533.26 and 3,847.24 is: 5,767.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,694.60 : 14,533.26 = 3,847.24 : x
  2. Step 2: Convert to fraction form
    9,694.60/14,533.26 = 3,847.24/x
  3. Step 3: Cross multiply
    9,694.60x = 14,533.26 × 3,847.24
  4. Step 4: Simplify right side
    9,694.60x = 55,912,939.20
  5. Step 5: Solve for x
    x = 55,912,939.20/9,694.60
  6. Step 6: Final answer
    x = 5,767.43

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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.