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Finding the Fourth Proportional to 9,977.87, 13,771.07 and 5,944.88

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Solution

The fourth proportional to 9,977.87, 13,771.07 and 5,944.88 is: 8,204.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,977.87 : 13,771.07 = 5,944.88 : x
  2. Step 2: Convert to fraction form
    9,977.87/13,771.07 = 5,944.88/x
  3. Step 3: Cross multiply
    9,977.87x = 13,771.07 × 5,944.88
  4. Step 4: Simplify right side
    9,977.87x = 81,867,260.04
  5. Step 5: Solve for x
    x = 81,867,260.04/9,977.87
  6. Step 6: Final answer
    x = 8,204.89

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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.