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Finding the Fourth Proportional to 9,523.08, 13,138.56 and 5,986.56

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Solution

The fourth proportional to 9,523.08, 13,138.56 and 5,986.56 is: 8,259.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,523.08 : 13,138.56 = 5,986.56 : x
  2. Step 2: Convert to fraction form
    9,523.08/13,138.56 = 5,986.56/x
  3. Step 3: Cross multiply
    9,523.08x = 13,138.56 × 5,986.56
  4. Step 4: Simplify right side
    9,523.08x = 78,654,777.75
  5. Step 5: Solve for x
    x = 78,654,777.75/9,523.08
  6. Step 6: Final answer
    x = 8,259.38

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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.