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Finding the Fourth Proportional to 8,094.87, 12,142.31 and 4,629.69

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Solution

The fourth proportional to 8,094.87, 12,142.31 and 4,629.69 is: 6,944.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,094.87 : 12,142.31 = 4,629.69 : x
  2. Step 2: Convert to fraction form
    8,094.87/12,142.31 = 4,629.69/x
  3. Step 3: Cross multiply
    8,094.87x = 12,142.31 × 4,629.69
  4. Step 4: Simplify right side
    8,094.87x = 56,215,131.18
  5. Step 5: Solve for x
    x = 56,215,131.18/8,094.87
  6. Step 6: Final answer
    x = 6,944.54

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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.