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Finding the Fourth Proportional to 6,100.34, 9,150.44 and 3,139.61

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Solution

The fourth proportional to 6,100.34, 9,150.44 and 3,139.61 is: 4,709.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,100.34 : 9,150.44 = 3,139.61 : x
  2. Step 2: Convert to fraction form
    6,100.34/9,150.44 = 3,139.61/x
  3. Step 3: Cross multiply
    6,100.34x = 9,150.44 × 3,139.61
  4. Step 4: Simplify right side
    6,100.34x = 28,728,775.03
  5. Step 5: Solve for x
    x = 28,728,775.03/6,100.34
  6. Step 6: Final answer
    x = 4,709.38

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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.