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Finding the Fourth Proportional to 7,949.22, 10,969.77 and 4,364.27

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Solution

The fourth proportional to 7,949.22, 10,969.77 and 4,364.27 is: 6,022.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,949.22 : 10,969.77 = 4,364.27 : x
  2. Step 2: Convert to fraction form
    7,949.22/10,969.77 = 4,364.27/x
  3. Step 3: Cross multiply
    7,949.22x = 10,969.77 × 4,364.27
  4. Step 4: Simplify right side
    7,949.22x = 47,874,983.27
  5. Step 5: Solve for x
    x = 47,874,983.27/7,949.22
  6. Step 6: Final answer
    x = 6,022.60

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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.