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Finding the Fourth Proportional to 6,189.14, 9,281.78 and 2,028.22

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Solution

The fourth proportional to 6,189.14, 9,281.78 and 2,028.22 is: 3,041.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,189.14 : 9,281.78 = 2,028.22 : x
  2. Step 2: Convert to fraction form
    6,189.14/9,281.78 = 2,028.22/x
  3. Step 3: Cross multiply
    6,189.14x = 9,281.78 × 2,028.22
  4. Step 4: Simplify right side
    6,189.14x = 18,825,491.83
  5. Step 5: Solve for x
    x = 18,825,491.83/6,189.14
  6. Step 6: Final answer
    x = 3,041.70

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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.