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Finding the Fourth Proportional to 9,119.22, 13,680.67 and 2,880.20

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Solution

The fourth proportional to 9,119.22, 13,680.67 and 2,880.20 is: 4,320.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,119.22 : 13,680.67 = 2,880.20 : x
  2. Step 2: Convert to fraction form
    9,119.22/13,680.67 = 2,880.20/x
  3. Step 3: Cross multiply
    9,119.22x = 13,680.67 × 2,880.20
  4. Step 4: Simplify right side
    9,119.22x = 39,403,065.73
  5. Step 5: Solve for x
    x = 39,403,065.73/9,119.22
  6. Step 6: Final answer
    x = 4,320.88

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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.