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Finding the Fourth Proportional to 9,793.56, 13,514.94 and 5,601.24

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Solution

The fourth proportional to 9,793.56, 13,514.94 and 5,601.24 is: 7,729.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,793.56 : 13,514.94 = 5,601.24 : x
  2. Step 2: Convert to fraction form
    9,793.56/13,514.94 = 5,601.24/x
  3. Step 3: Cross multiply
    9,793.56x = 13,514.94 × 5,601.24
  4. Step 4: Simplify right side
    9,793.56x = 75,700,422.53
  5. Step 5: Solve for x
    x = 75,700,422.53/9,793.56
  6. Step 6: Final answer
    x = 7,729.61

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