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Finding the Fourth Proportional to 9,272.88, 12,786.39 and 5,911.92

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Solution

The fourth proportional to 9,272.88, 12,786.39 and 5,911.92 is: 8,151.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,272.88 : 12,786.39 = 5,911.92 : x
  2. Step 2: Convert to fraction form
    9,272.88/12,786.39 = 5,911.92/x
  3. Step 3: Cross multiply
    9,272.88x = 12,786.39 × 5,911.92
  4. Step 4: Simplify right side
    9,272.88x = 75,592,114.77
  5. Step 5: Solve for x
    x = 75,592,114.77/9,272.88
  6. Step 6: Final answer
    x = 8,151.96

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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.