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Finding the Fourth Proportional to 9,131.42, 12,601.49 and 5,987.54

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Solution

The fourth proportional to 9,131.42, 12,601.49 and 5,987.54 is: 8,262.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,131.42 : 12,601.49 = 5,987.54 : x
  2. Step 2: Convert to fraction form
    9,131.42/12,601.49 = 5,987.54/x
  3. Step 3: Cross multiply
    9,131.42x = 12,601.49 × 5,987.54
  4. Step 4: Simplify right side
    9,131.42x = 75,451,832.49
  5. Step 5: Solve for x
    x = 75,451,832.49/9,131.42
  6. Step 6: Final answer
    x = 8,262.89

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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.