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Finding the Fourth Proportional to 9,119.12, 13,678.67 and 2,193.62

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Solution

The fourth proportional to 9,119.12, 13,678.67 and 2,193.62 is: 3,290.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,119.12 : 13,678.67 = 2,193.62 : x
  2. Step 2: Convert to fraction form
    9,119.12/13,678.67 = 2,193.62/x
  3. Step 3: Cross multiply
    9,119.12x = 13,678.67 × 2,193.62
  4. Step 4: Simplify right side
    9,119.12x = 30,005,741.18
  5. Step 5: Solve for x
    x = 30,005,741.18/9,119.12
  6. Step 6: Final answer
    x = 3,290.42

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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.