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Finding the Fourth Proportional to 9,872.28, 13,623.78 and 5,680.50

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Solution

The fourth proportional to 9,872.28, 13,623.78 and 5,680.50 is: 7,839.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,872.28 : 13,623.78 = 5,680.50 : x
  2. Step 2: Convert to fraction form
    9,872.28/13,623.78 = 5,680.50/x
  3. Step 3: Cross multiply
    9,872.28x = 13,623.78 × 5,680.50
  4. Step 4: Simplify right side
    9,872.28x = 77,389,882.29
  5. Step 5: Solve for x
    x = 77,389,882.29/9,872.28
  6. Step 6: Final answer
    x = 7,839.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.