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Finding the Fourth Proportional to 9,976.67, 13,767.27 and 5,499.53

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Solution

The fourth proportional to 9,976.67, 13,767.27 and 5,499.53 is: 7,589.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,976.67 : 13,767.27 = 5,499.53 : x
  2. Step 2: Convert to fraction form
    9,976.67/13,767.27 = 5,499.53/x
  3. Step 3: Cross multiply
    9,976.67x = 13,767.27 × 5,499.53
  4. Step 4: Simplify right side
    9,976.67x = 75,713,514.38
  5. Step 5: Solve for x
    x = 75,713,514.38/9,976.67
  6. Step 6: Final answer
    x = 7,589.06

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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.