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Finding the Fourth Proportional to 9,796.77, 13,519.85 and 5,606.37

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Solution

The fourth proportional to 9,796.77, 13,519.85 and 5,606.37 is: 7,736.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,796.77 : 13,519.85 = 5,606.37 : x
  2. Step 2: Convert to fraction form
    9,796.77/13,519.85 = 5,606.37/x
  3. Step 3: Cross multiply
    9,796.77x = 13,519.85 × 5,606.37
  4. Step 4: Simplify right side
    9,796.77x = 75,797,253.41
  5. Step 5: Solve for x
    x = 75,797,253.41/9,796.77
  6. Step 6: Final answer
    x = 7,736.96

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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.