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Finding the Fourth Proportional to 9,212, 12,713.10 and 5,233.28

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Solution

The fourth proportional to 9,212, 12,713.10 and 5,233.28 is: 7,222.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,212 : 12,713.10 = 5,233.28 : x
  2. Step 2: Convert to fraction form
    9,212/12,713.10 = 5,233.28/x
  3. Step 3: Cross multiply
    9,212x = 12,713.10 × 5,233.28
  4. Step 4: Simplify right side
    9,212x = 66,531,211.97
  5. Step 5: Solve for x
    x = 66,531,211.97/9,212
  6. Step 6: Final answer
    x = 7,222.23

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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.