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Finding the Fourth Proportional to 9,212.47, 12,713.86 and 5,233.88

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Solution

The fourth proportional to 9,212.47, 12,713.86 and 5,233.88 is: 7,223.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,212.47 : 12,713.86 = 5,233.88 : x
  2. Step 2: Convert to fraction form
    9,212.47/12,713.86 = 5,233.88/x
  3. Step 3: Cross multiply
    9,212.47x = 12,713.86 × 5,233.88
  4. Step 4: Simplify right side
    9,212.47x = 66,542,855.90
  5. Step 5: Solve for x
    x = 66,542,855.90/9,212.47
  6. Step 6: Final answer
    x = 7,223.13

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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.