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Finding the Fourth Proportional to 9,400, 14,102.16 and 3,244

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Solution

The fourth proportional to 9,400, 14,102.16 and 3,244 is: 4,866.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,400 : 14,102.16 = 3,244 : x
  2. Step 2: Convert to fraction form
    9,400/14,102.16 = 3,244/x
  3. Step 3: Cross multiply
    9,400x = 14,102.16 × 3,244
  4. Step 4: Simplify right side
    9,400x = 45,747,407.04
  5. Step 5: Solve for x
    x = 45,747,407.04/9,400
  6. Step 6: Final answer
    x = 4,866.75

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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.