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Finding the Fourth Proportional to 28,169.63, 42,261.11 and 9,194.16

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Solution

The fourth proportional to 28,169.63, 42,261.11 and 9,194.16 is: 13,793.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,169.63 : 42,261.11 = 9,194.16 : x
  2. Step 2: Convert to fraction form
    28,169.63/42,261.11 = 9,194.16/x
  3. Step 3: Cross multiply
    28,169.63x = 42,261.11 × 9,194.16
  4. Step 4: Simplify right side
    28,169.63x = 388,555,361.15
  5. Step 5: Solve for x
    x = 388,555,361.15/28,169.63
  6. Step 6: Final answer
    x = 13,793.42

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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.