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Finding the Fourth Proportional to 6,086.35, 9,127.70 and 3,163.06

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Solution

The fourth proportional to 6,086.35, 9,127.70 and 3,163.06 is: 4,743.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,086.35 : 9,127.70 = 3,163.06 : x
  2. Step 2: Convert to fraction form
    6,086.35/9,127.70 = 3,163.06/x
  3. Step 3: Cross multiply
    6,086.35x = 9,127.70 × 3,163.06
  4. Step 4: Simplify right side
    6,086.35x = 28,871,462.76
  5. Step 5: Solve for x
    x = 28,871,462.76/6,086.35
  6. Step 6: Final answer
    x = 4,743.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.