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Finding the Fourth Proportional to 7,969.25, 11,954.52 and 2,423.09

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Solution

The fourth proportional to 7,969.25, 11,954.52 and 2,423.09 is: 3,634.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,969.25 : 11,954.52 = 2,423.09 : x
  2. Step 2: Convert to fraction form
    7,969.25/11,954.52 = 2,423.09/x
  3. Step 3: Cross multiply
    7,969.25x = 11,954.52 × 2,423.09
  4. Step 4: Simplify right side
    7,969.25x = 28,966,907.75
  5. Step 5: Solve for x
    x = 28,966,907.75/7,969.25
  6. Step 6: Final answer
    x = 3,634.83

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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.