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Finding the Fourth Proportional to 9,170.25, 12,654.06 and 7,286.39

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Solution

The fourth proportional to 9,170.25, 12,654.06 and 7,286.39 is: 10,054.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,170.25 : 12,654.06 = 7,286.39 : x
  2. Step 2: Convert to fraction form
    9,170.25/12,654.06 = 7,286.39/x
  3. Step 3: Cross multiply
    9,170.25x = 12,654.06 × 7,286.39
  4. Step 4: Simplify right side
    9,170.25x = 92,202,416.24
  5. Step 5: Solve for x
    x = 92,202,416.24/9,170.25
  6. Step 6: Final answer
    x = 10,054.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.