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Finding the Fourth Proportional to 6,187.14, 9,278.78 and 2,026.22

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Solution

The fourth proportional to 6,187.14, 9,278.78 and 2,026.22 is: 3,038.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,187.14 : 9,278.78 = 2,026.22 : x
  2. Step 2: Convert to fraction form
    6,187.14/9,278.78 = 2,026.22/x
  3. Step 3: Cross multiply
    6,187.14x = 9,278.78 × 2,026.22
  4. Step 4: Simplify right side
    6,187.14x = 18,800,793.09
  5. Step 5: Solve for x
    x = 18,800,793.09/6,187.14
  6. Step 6: Final answer
    x = 3,038.69

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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.