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Finding the Fourth Proportional to 9,694.08, 14,536.26 and 3,847.50

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Solution

The fourth proportional to 9,694.08, 14,536.26 and 3,847.50 is: 5,769.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,694.08 : 14,536.26 = 3,847.50 : x
  2. Step 2: Convert to fraction form
    9,694.08/14,536.26 = 3,847.50/x
  3. Step 3: Cross multiply
    9,694.08x = 14,536.26 × 3,847.50
  4. Step 4: Simplify right side
    9,694.08x = 55,928,260.35
  5. Step 5: Solve for x
    x = 55,928,260.35/9,694.08
  6. Step 6: Final answer
    x = 5,769.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.