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Finding the Fourth Proportional to 9,212.27, 12,712.95 and 5,234.69

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Solution

The fourth proportional to 9,212.27, 12,712.95 and 5,234.69 is: 7,223.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,212.27 : 12,712.95 = 5,234.69 : x
  2. Step 2: Convert to fraction form
    9,212.27/12,712.95 = 5,234.69/x
  3. Step 3: Cross multiply
    9,212.27x = 12,712.95 × 5,234.69
  4. Step 4: Simplify right side
    9,212.27x = 66,548,384.02
  5. Step 5: Solve for x
    x = 66,548,384.02/9,212.27
  6. Step 6: Final answer
    x = 7,223.89

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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.