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Finding the Fourth Proportional to 9,286.96, 13,932.60 and 2,713.24

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Solution

The fourth proportional to 9,286.96, 13,932.60 and 2,713.24 is: 4,070.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,286.96 : 13,932.60 = 2,713.24 : x
  2. Step 2: Convert to fraction form
    9,286.96/13,932.60 = 2,713.24/x
  3. Step 3: Cross multiply
    9,286.96x = 13,932.60 × 2,713.24
  4. Step 4: Simplify right side
    9,286.96x = 37,802,487.62
  5. Step 5: Solve for x
    x = 37,802,487.62/9,286.96
  6. Step 6: Final answer
    x = 4,070.49

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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.