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Finding the Fourth Proportional to 7,212.29, 9,961.79 and 5,219.69

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Solution

The fourth proportional to 7,212.29, 9,961.79 and 5,219.69 is: 7,209.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,212.29 : 9,961.79 = 5,219.69 : x
  2. Step 2: Convert to fraction form
    7,212.29/9,961.79 = 5,219.69/x
  3. Step 3: Cross multiply
    7,212.29x = 9,961.79 × 5,219.69
  4. Step 4: Simplify right side
    7,212.29x = 51,997,379.74
  5. Step 5: Solve for x
    x = 51,997,379.74/7,212.29
  6. Step 6: Final answer
    x = 7,209.56

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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.