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Finding the Fourth Proportional to 9,914.28, 14,872.92 and 3,339.92

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Solution

The fourth proportional to 9,914.28, 14,872.92 and 3,339.92 is: 5,010.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,914.28 : 14,872.92 = 3,339.92 : x
  2. Step 2: Convert to fraction form
    9,914.28/14,872.92 = 3,339.92/x
  3. Step 3: Cross multiply
    9,914.28x = 14,872.92 × 3,339.92
  4. Step 4: Simplify right side
    9,914.28x = 49,674,362.97
  5. Step 5: Solve for x
    x = 49,674,362.97/9,914.28
  6. Step 6: Final answer
    x = 5,010.39

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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.