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Finding the Fourth Proportional to 9,272.72, 12,796.35 and 5,023.81

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Solution

The fourth proportional to 9,272.72, 12,796.35 and 5,023.81 is: 6,932.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,272.72 : 12,796.35 = 5,023.81 : x
  2. Step 2: Convert to fraction form
    9,272.72/12,796.35 = 5,023.81/x
  3. Step 3: Cross multiply
    9,272.72x = 12,796.35 × 5,023.81
  4. Step 4: Simplify right side
    9,272.72x = 64,286,439.15
  5. Step 5: Solve for x
    x = 64,286,439.15/9,272.72
  6. Step 6: Final answer
    x = 6,932.86

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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.