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Finding the Fourth Proportional to 6,190.68, 9,268.20 and 4,112.76

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Solution

The fourth proportional to 6,190.68, 9,268.20 and 4,112.76 is: 6,157.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,190.68 : 9,268.20 = 4,112.76 : x
  2. Step 2: Convert to fraction form
    6,190.68/9,268.20 = 4,112.76/x
  3. Step 3: Cross multiply
    6,190.68x = 9,268.20 × 4,112.76
  4. Step 4: Simplify right side
    6,190.68x = 38,117,882.23
  5. Step 5: Solve for x
    x = 38,117,882.23/6,190.68
  6. Step 6: Final answer
    x = 6,157.30

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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.