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Finding the Fourth Proportional to 9,755.75, 14,634.03 and 2,830.25

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Solution

The fourth proportional to 9,755.75, 14,634.03 and 2,830.25 is: 4,245.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,755.75 : 14,634.03 = 2,830.25 : x
  2. Step 2: Convert to fraction form
    9,755.75/14,634.03 = 2,830.25/x
  3. Step 3: Cross multiply
    9,755.75x = 14,634.03 × 2,830.25
  4. Step 4: Simplify right side
    9,755.75x = 41,417,963.41
  5. Step 5: Solve for x
    x = 41,417,963.41/9,755.75
  6. Step 6: Final answer
    x = 4,245.49

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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.