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Finding the Fourth Proportional to 9,212.56, 12,712.86 and 5,233.12

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Solution

The fourth proportional to 9,212.56, 12,712.86 and 5,233.12 is: 7,221.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,212.56 : 12,712.86 = 5,233.12 : x
  2. Step 2: Convert to fraction form
    9,212.56/12,712.86 = 5,233.12/x
  3. Step 3: Cross multiply
    9,212.56x = 12,712.86 × 5,233.12
  4. Step 4: Simplify right side
    9,212.56x = 66,527,921.92
  5. Step 5: Solve for x
    x = 66,527,921.92/9,212.56
  6. Step 6: Final answer
    x = 7,221.44

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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.