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Finding the Fourth Proportional to 9,238.50, 13,857.75 and 3,694.32

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Solution

The fourth proportional to 9,238.50, 13,857.75 and 3,694.32 is: 5,541.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,238.50 : 13,857.75 = 3,694.32 : x
  2. Step 2: Convert to fraction form
    9,238.50/13,857.75 = 3,694.32/x
  3. Step 3: Cross multiply
    9,238.50x = 13,857.75 × 3,694.32
  4. Step 4: Simplify right side
    9,238.50x = 51,194,962.98
  5. Step 5: Solve for x
    x = 51,194,962.98/9,238.50
  6. Step 6: Final answer
    x = 5,541.48

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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.