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Finding the Fourth Proportional to 6,189.84, 9,285.18 and 2,028.75

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Solution

The fourth proportional to 6,189.84, 9,285.18 and 2,028.75 is: 3,043.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,189.84 : 9,285.18 = 2,028.75 : x
  2. Step 2: Convert to fraction form
    6,189.84/9,285.18 = 2,028.75/x
  3. Step 3: Cross multiply
    6,189.84x = 9,285.18 × 2,028.75
  4. Step 4: Simplify right side
    6,189.84x = 18,837,308.93
  5. Step 5: Solve for x
    x = 18,837,308.93/6,189.84
  6. Step 6: Final answer
    x = 3,043.26

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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.