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Finding the Fourth Proportional to 9,272.42, 12,788.48 and 8,150.97

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Solution

The fourth proportional to 9,272.42, 12,788.48 and 8,150.97 is: 11,241.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,272.42 : 12,788.48 = 8,150.97 : x
  2. Step 2: Convert to fraction form
    9,272.42/12,788.48 = 8,150.97/x
  3. Step 3: Cross multiply
    9,272.42x = 12,788.48 × 8,150.97
  4. Step 4: Simplify right side
    9,272.42x = 104,238,516.83
  5. Step 5: Solve for x
    x = 104,238,516.83/9,272.42
  6. Step 6: Final answer
    x = 11,241.79

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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.