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Finding the Fourth Proportional to 9,755.65, 14,636.77 and 3,093.24

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Solution

The fourth proportional to 9,755.65, 14,636.77 and 3,093.24 is: 4,640.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,755.65 : 14,636.77 = 3,093.24 : x
  2. Step 2: Convert to fraction form
    9,755.65/14,636.77 = 3,093.24/x
  3. Step 3: Cross multiply
    9,755.65x = 14,636.77 × 3,093.24
  4. Step 4: Simplify right side
    9,755.65x = 45,275,026.97
  5. Step 5: Solve for x
    x = 45,275,026.97/9,755.65
  6. Step 6: Final answer
    x = 4,640.90

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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.