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Finding the Fourth Proportional to 6,533.43, 9,016.34 and 3,739.83

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Solution

The fourth proportional to 6,533.43, 9,016.34 and 3,739.83 is: 5,161.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,533.43 : 9,016.34 = 3,739.83 : x
  2. Step 2: Convert to fraction form
    6,533.43/9,016.34 = 3,739.83/x
  3. Step 3: Cross multiply
    6,533.43x = 9,016.34 × 3,739.83
  4. Step 4: Simplify right side
    6,533.43x = 33,719,560.12
  5. Step 5: Solve for x
    x = 33,719,560.12/6,533.43
  6. Step 6: Final answer
    x = 5,161.08

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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.