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Finding the Fourth Proportional to 9,755.02, 14,604.04 and 7,267.24

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Solution

The fourth proportional to 9,755.02, 14,604.04 and 7,267.24 is: 10,879.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,755.02 : 14,604.04 = 7,267.24 : x
  2. Step 2: Convert to fraction form
    9,755.02/14,604.04 = 7,267.24/x
  3. Step 3: Cross multiply
    9,755.02x = 14,604.04 × 7,267.24
  4. Step 4: Simplify right side
    9,755.02x = 106,131,063.65
  5. Step 5: Solve for x
    x = 106,131,063.65/9,755.02
  6. Step 6: Final answer
    x = 10,879.64

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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.