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Finding the Fourth Proportional to 6,533.39, 9,016.26 and 3,844.82

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Solution

The fourth proportional to 6,533.39, 9,016.26 and 3,844.82 is: 5,305.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,533.39 : 9,016.26 = 3,844.82 : x
  2. Step 2: Convert to fraction form
    6,533.39/9,016.26 = 3,844.82/x
  3. Step 3: Cross multiply
    6,533.39x = 9,016.26 × 3,844.82
  4. Step 4: Simplify right side
    6,533.39x = 34,665,851.69
  5. Step 5: Solve for x
    x = 34,665,851.69/6,533.39
  6. Step 6: Final answer
    x = 5,305.96

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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.