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Finding the Fourth Proportional to 6,178.68, 9,250.20 and 4,100.76

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Solution

The fourth proportional to 6,178.68, 9,250.20 and 4,100.76 is: 6,139.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,178.68 : 9,250.20 = 4,100.76 : x
  2. Step 2: Convert to fraction form
    6,178.68/9,250.20 = 4,100.76/x
  3. Step 3: Cross multiply
    6,178.68x = 9,250.20 × 4,100.76
  4. Step 4: Simplify right side
    6,178.68x = 37,932,850.15
  5. Step 5: Solve for x
    x = 37,932,850.15/6,178.68
  6. Step 6: Final answer
    x = 6,139.31

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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.