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Finding the Fourth Proportional to 9,687.27, 14,507.54 and 5,514.62

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Solution

The fourth proportional to 9,687.27, 14,507.54 and 5,514.62 is: 8,258.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,687.27 : 14,507.54 = 5,514.62 : x
  2. Step 2: Convert to fraction form
    9,687.27/14,507.54 = 5,514.62/x
  3. Step 3: Cross multiply
    9,687.27x = 14,507.54 × 5,514.62
  4. Step 4: Simplify right side
    9,687.27x = 80,003,578.93
  5. Step 5: Solve for x
    x = 80,003,578.93/9,687.27
  6. Step 6: Final answer
    x = 8,258.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.