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Finding the Fourth Proportional to 9,977.92, 13,765.61 and 5,727.44

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Solution

The fourth proportional to 9,977.92, 13,765.61 and 5,727.44 is: 7,901.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,977.92 : 13,765.61 = 5,727.44 : x
  2. Step 2: Convert to fraction form
    9,977.92/13,765.61 = 5,727.44/x
  3. Step 3: Cross multiply
    9,977.92x = 13,765.61 × 5,727.44
  4. Step 4: Simplify right side
    9,977.92x = 78,841,754.07
  5. Step 5: Solve for x
    x = 78,841,754.07/9,977.92
  6. Step 6: Final answer
    x = 7,901.62

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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.