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Finding the Fourth Proportional to 9,604.92, 14,382.68 and 7,721.96

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Solution

The fourth proportional to 9,604.92, 14,382.68 and 7,721.96 is: 11,563.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,604.92 : 14,382.68 = 7,721.96 : x
  2. Step 2: Convert to fraction form
    9,604.92/14,382.68 = 7,721.96/x
  3. Step 3: Cross multiply
    9,604.92x = 14,382.68 × 7,721.96
  4. Step 4: Simplify right side
    9,604.92x = 111,062,479.65
  5. Step 5: Solve for x
    x = 111,062,479.65/9,604.92
  6. Step 6: Final answer
    x = 11,563.08

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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.