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Finding the Fourth Proportional to 6,138.48, 9,208.64 and 2,189.43

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Solution

The fourth proportional to 6,138.48, 9,208.64 and 2,189.43 is: 3,284.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,138.48 : 9,208.64 = 2,189.43 : x
  2. Step 2: Convert to fraction form
    6,138.48/9,208.64 = 2,189.43/x
  3. Step 3: Cross multiply
    6,138.48x = 9,208.64 × 2,189.43
  4. Step 4: Simplify right side
    6,138.48x = 20,161,661.73
  5. Step 5: Solve for x
    x = 20,161,661.73/6,138.48
  6. Step 6: Final answer
    x = 3,284.47

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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.