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Finding the Fourth Proportional to 9,212.56, 12,713.38 and 5,233.89

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Solution

The fourth proportional to 9,212.56, 12,713.38 and 5,233.89 is: 7,222.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,212.56 : 12,713.38 = 5,233.89 : x
  2. Step 2: Convert to fraction form
    9,212.56/12,713.38 = 5,233.89/x
  3. Step 3: Cross multiply
    9,212.56x = 12,713.38 × 5,233.89
  4. Step 4: Simplify right side
    9,212.56x = 66,540,467.04
  5. Step 5: Solve for x
    x = 66,540,467.04/9,212.56
  6. Step 6: Final answer
    x = 7,222.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.