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Finding the Fourth Proportional to 9,119.87, 13,679.80 and 2,194.37

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Solution

The fourth proportional to 9,119.87, 13,679.80 and 2,194.37 is: 3,291.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,119.87 : 13,679.80 = 2,194.37 : x
  2. Step 2: Convert to fraction form
    9,119.87/13,679.80 = 2,194.37/x
  3. Step 3: Cross multiply
    9,119.87x = 13,679.80 × 2,194.37
  4. Step 4: Simplify right side
    9,119.87x = 30,018,468.84
  5. Step 5: Solve for x
    x = 30,018,468.84/9,119.87
  6. Step 6: Final answer
    x = 3,291.55

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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.