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Finding the Fourth Proportional to 7,196.40, 9,933.30 and 4,213.71

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Solution

The fourth proportional to 7,196.40, 9,933.30 and 4,213.71 is: 5,816.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,196.40 : 9,933.30 = 4,213.71 : x
  2. Step 2: Convert to fraction form
    7,196.40/9,933.30 = 4,213.71/x
  3. Step 3: Cross multiply
    7,196.40x = 9,933.30 × 4,213.71
  4. Step 4: Simplify right side
    7,196.40x = 41,856,045.54
  5. Step 5: Solve for x
    x = 41,856,045.54/7,196.40
  6. Step 6: Final answer
    x = 5,816.25

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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.