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Finding the Fourth Proportional to 7,196.36, 9,932.46 and 4,213.76

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Solution

The fourth proportional to 7,196.36, 9,932.46 and 4,213.76 is: 5,815.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,196.36 : 9,932.46 = 4,213.76 : x
  2. Step 2: Convert to fraction form
    7,196.36/9,932.46 = 4,213.76/x
  3. Step 3: Cross multiply
    7,196.36x = 9,932.46 × 4,213.76
  4. Step 4: Simplify right side
    7,196.36x = 41,853,002.65
  5. Step 5: Solve for x
    x = 41,853,002.65/7,196.36
  6. Step 6: Final answer
    x = 5,815.86

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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.