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Finding the Fourth Proportional to 9,976.92, 14,949.18 and 5,296.56

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Solution

The fourth proportional to 9,976.92, 14,949.18 and 5,296.56 is: 7,936.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,976.92 : 14,949.18 = 5,296.56 : x
  2. Step 2: Convert to fraction form
    9,976.92/14,949.18 = 5,296.56/x
  3. Step 3: Cross multiply
    9,976.92x = 14,949.18 × 5,296.56
  4. Step 4: Simplify right side
    9,976.92x = 79,179,228.82
  5. Step 5: Solve for x
    x = 79,179,228.82/9,976.92
  6. Step 6: Final answer
    x = 7,936.24

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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.