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Finding the Fourth Proportional to 6,129.44, 9,194.10 and 1,512.44

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Solution

The fourth proportional to 6,129.44, 9,194.10 and 1,512.44 is: 2,268.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,129.44 : 9,194.10 = 1,512.44 : x
  2. Step 2: Convert to fraction form
    6,129.44/9,194.10 = 1,512.44/x
  3. Step 3: Cross multiply
    6,129.44x = 9,194.10 × 1,512.44
  4. Step 4: Simplify right side
    6,129.44x = 13,905,524.60
  5. Step 5: Solve for x
    x = 13,905,524.60/6,129.44
  6. Step 6: Final answer
    x = 2,268.65

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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.