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Finding the Fourth Proportional to 9,976.11, 13,767.54 and 5,727.14

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Solution

The fourth proportional to 9,976.11, 13,767.54 and 5,727.14 is: 7,903.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,976.11 : 13,767.54 = 5,727.14 : x
  2. Step 2: Convert to fraction form
    9,976.11/13,767.54 = 5,727.14/x
  3. Step 3: Cross multiply
    9,976.11x = 13,767.54 × 5,727.14
  4. Step 4: Simplify right side
    9,976.11x = 78,848,629.04
  5. Step 5: Solve for x
    x = 78,848,629.04/9,976.11
  6. Step 6: Final answer
    x = 7,903.74

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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.