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Finding the Fourth Proportional to 9,791.43, 14,689.68 and 4,243.49

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Solution

The fourth proportional to 9,791.43, 14,689.68 and 4,243.49 is: 6,366.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,791.43 : 14,689.68 = 4,243.49 : x
  2. Step 2: Convert to fraction form
    9,791.43/14,689.68 = 4,243.49/x
  3. Step 3: Cross multiply
    9,791.43x = 14,689.68 × 4,243.49
  4. Step 4: Simplify right side
    9,791.43x = 62,335,510.18
  5. Step 5: Solve for x
    x = 62,335,510.18/9,791.43
  6. Step 6: Final answer
    x = 6,366.33

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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.