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Finding the Fourth Proportional to 6,129.56, 9,197.38 and 2,431.70

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Solution

The fourth proportional to 6,129.56, 9,197.38 and 2,431.70 is: 3,648.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,129.56 : 9,197.38 = 2,431.70 : x
  2. Step 2: Convert to fraction form
    6,129.56/9,197.38 = 2,431.70/x
  3. Step 3: Cross multiply
    6,129.56x = 9,197.38 × 2,431.70
  4. Step 4: Simplify right side
    6,129.56x = 22,365,268.95
  5. Step 5: Solve for x
    x = 22,365,268.95/6,129.56
  6. Step 6: Final answer
    x = 3,648.76

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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.