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Finding the Fourth Proportional to 6,187.75, 9,279.19 and 2,289.49

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Solution

The fourth proportional to 6,187.75, 9,279.19 and 2,289.49 is: 3,433.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,187.75 : 9,279.19 = 2,289.49 : x
  2. Step 2: Convert to fraction form
    6,187.75/9,279.19 = 2,289.49/x
  3. Step 3: Cross multiply
    6,187.75x = 9,279.19 × 2,289.49
  4. Step 4: Simplify right side
    6,187.75x = 21,244,612.71
  5. Step 5: Solve for x
    x = 21,244,612.71/6,187.75
  6. Step 6: Final answer
    x = 3,433.33

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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.