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Finding the Fourth Proportional to 7,743.94, 11,614.69 and 6,436.09

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Solution

The fourth proportional to 7,743.94, 11,614.69 and 6,436.09 is: 9,653.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,743.94 : 11,614.69 = 6,436.09 : x
  2. Step 2: Convert to fraction form
    7,743.94/11,614.69 = 6,436.09/x
  3. Step 3: Cross multiply
    7,743.94x = 11,614.69 × 6,436.09
  4. Step 4: Simplify right side
    7,743.94x = 74,753,212.73
  5. Step 5: Solve for x
    x = 74,753,212.73/7,743.94
  6. Step 6: Final answer
    x = 9,653.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.