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Finding the Fourth Proportional to 7,196.81, 9,932.31 and 4,212.47

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Solution

The fourth proportional to 7,196.81, 9,932.31 and 4,212.47 is: 5,813.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,196.81 : 9,932.31 = 4,212.47 : x
  2. Step 2: Convert to fraction form
    7,196.81/9,932.31 = 4,212.47/x
  3. Step 3: Cross multiply
    7,196.81x = 9,932.31 × 4,212.47
  4. Step 4: Simplify right side
    7,196.81x = 41,839,557.91
  5. Step 5: Solve for x
    x = 41,839,557.91/7,196.81
  6. Step 6: Final answer
    x = 5,813.63

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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.