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Finding the Fourth Proportional to 9,774.26, 14,664.50 and 3,198.95

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Solution

The fourth proportional to 9,774.26, 14,664.50 and 3,198.95 is: 4,799.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,774.26 : 14,664.50 = 3,198.95 : x
  2. Step 2: Convert to fraction form
    9,774.26/14,664.50 = 3,198.95/x
  3. Step 3: Cross multiply
    9,774.26x = 14,664.50 × 3,198.95
  4. Step 4: Simplify right side
    9,774.26x = 46,910,986.28
  5. Step 5: Solve for x
    x = 46,910,986.28/9,774.26
  6. Step 6: Final answer
    x = 4,799.44

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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.