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Finding the Fourth Proportional to 9,755.25, 14,634.41 and 3,179.90

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Solution

The fourth proportional to 9,755.25, 14,634.41 and 3,179.90 is: 4,770.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,755.25 : 14,634.41 = 3,179.90 : x
  2. Step 2: Convert to fraction form
    9,755.25/14,634.41 = 3,179.90/x
  3. Step 3: Cross multiply
    9,755.25x = 14,634.41 × 3,179.90
  4. Step 4: Simplify right side
    9,755.25x = 46,535,871.29
  5. Step 5: Solve for x
    x = 46,535,871.29/9,755.25
  6. Step 6: Final answer
    x = 4,770.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.