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Finding the Fourth Proportional to 9,523.91, 13,136.86 and 5,980.97

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Solution

The fourth proportional to 9,523.91, 13,136.86 and 5,980.97 is: 8,249.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,523.91 : 13,136.86 = 5,980.97 : x
  2. Step 2: Convert to fraction form
    9,523.91/13,136.86 = 5,980.97/x
  3. Step 3: Cross multiply
    9,523.91x = 13,136.86 × 5,980.97
  4. Step 4: Simplify right side
    9,523.91x = 78,571,165.55
  5. Step 5: Solve for x
    x = 78,571,165.55/9,523.91
  6. Step 6: Final answer
    x = 8,249.89

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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.