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Finding the Fourth Proportional to 9,755.76, 14,634.04 and 2,830.26

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Solution

The fourth proportional to 9,755.76, 14,634.04 and 2,830.26 is: 4,245.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,755.76 : 14,634.04 = 2,830.26 : x
  2. Step 2: Convert to fraction form
    9,755.76/14,634.04 = 2,830.26/x
  3. Step 3: Cross multiply
    9,755.76x = 14,634.04 × 2,830.26
  4. Step 4: Simplify right side
    9,755.76x = 41,418,138.05
  5. Step 5: Solve for x
    x = 41,418,138.05/9,755.76
  6. Step 6: Final answer
    x = 4,245.51

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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.