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Finding the Fourth Proportional to 9,119.71, 13,680.17 and 3,195.91

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Solution

The fourth proportional to 9,119.71, 13,680.17 and 3,195.91 is: 4,794.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,119.71 : 13,680.17 = 3,195.91 : x
  2. Step 2: Convert to fraction form
    9,119.71/13,680.17 = 3,195.91/x
  3. Step 3: Cross multiply
    9,119.71x = 13,680.17 × 3,195.91
  4. Step 4: Simplify right side
    9,119.71x = 43,720,592.10
  5. Step 5: Solve for x
    x = 43,720,592.10/9,119.71
  6. Step 6: Final answer
    x = 4,794.08

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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.