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Finding the Fourth Proportional to 9,016, 13,514.70 and 3,754.06

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Solution

The fourth proportional to 9,016, 13,514.70 and 3,754.06 is: 5,627.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,016 : 13,514.70 = 3,754.06 : x
  2. Step 2: Convert to fraction form
    9,016/13,514.70 = 3,754.06/x
  3. Step 3: Cross multiply
    9,016x = 13,514.70 × 3,754.06
  4. Step 4: Simplify right side
    9,016x = 50,734,994.68
  5. Step 5: Solve for x
    x = 50,734,994.68/9,016
  6. Step 6: Final answer
    x = 5,627.22

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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.