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Finding the Fourth Proportional to 9,270.96, 12,796.30 and 5,732.16

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Solution

The fourth proportional to 9,270.96, 12,796.30 and 5,732.16 is: 7,911.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,270.96 : 12,796.30 = 5,732.16 : x
  2. Step 2: Convert to fraction form
    9,270.96/12,796.30 = 5,732.16/x
  3. Step 3: Cross multiply
    9,270.96x = 12,796.30 × 5,732.16
  4. Step 4: Simplify right side
    9,270.96x = 73,350,439.01
  5. Step 5: Solve for x
    x = 73,350,439.01/9,270.96
  6. Step 6: Final answer
    x = 7,911.85

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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.