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Finding the Fourth Proportional to 9,272.62, 12,796.25 and 5,497.66

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Solution

The fourth proportional to 9,272.62, 12,796.25 and 5,497.66 is: 7,586.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,272.62 : 12,796.25 = 5,497.66 : x
  2. Step 2: Convert to fraction form
    9,272.62/12,796.25 = 5,497.66/x
  3. Step 3: Cross multiply
    9,272.62x = 12,796.25 × 5,497.66
  4. Step 4: Simplify right side
    9,272.62x = 70,349,431.78
  5. Step 5: Solve for x
    x = 70,349,431.78/9,272.62
  6. Step 6: Final answer
    x = 7,586.79

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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.