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Finding the Fourth Proportional to 9,889.22, 14,839.31 and 4,049.93

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Solution

The fourth proportional to 9,889.22, 14,839.31 and 4,049.93 is: 6,077.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,889.22 : 14,839.31 = 4,049.93 : x
  2. Step 2: Convert to fraction form
    9,889.22/14,839.31 = 4,049.93/x
  3. Step 3: Cross multiply
    9,889.22x = 14,839.31 × 4,049.93
  4. Step 4: Simplify right side
    9,889.22x = 60,098,213.97
  5. Step 5: Solve for x
    x = 60,098,213.97/9,889.22
  6. Step 6: Final answer
    x = 6,077.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.