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Finding the Fourth Proportional to 6,534.14, 9,016.06 and 4,015.44

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Solution

The fourth proportional to 6,534.14, 9,016.06 and 4,015.44 is: 5,540.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,534.14 : 9,016.06 = 4,015.44 : x
  2. Step 2: Convert to fraction form
    6,534.14/9,016.06 = 4,015.44/x
  3. Step 3: Cross multiply
    6,534.14x = 9,016.06 × 4,015.44
  4. Step 4: Simplify right side
    6,534.14x = 36,203,447.97
  5. Step 5: Solve for x
    x = 36,203,447.97/6,534.14
  6. Step 6: Final answer
    x = 5,540.66

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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.