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Finding the Fourth Proportional to 9,212.20, 12,715.20 and 5,234.60

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Solution

The fourth proportional to 9,212.20, 12,715.20 and 5,234.60 is: 7,225.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,212.20 : 12,715.20 = 5,234.60 : x
  2. Step 2: Convert to fraction form
    9,212.20/12,715.20 = 5,234.60/x
  3. Step 3: Cross multiply
    9,212.20x = 12,715.20 × 5,234.60
  4. Step 4: Simplify right side
    9,212.20x = 66,558,985.92
  5. Step 5: Solve for x
    x = 66,558,985.92/9,212.20
  6. Step 6: Final answer
    x = 7,225.09

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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.