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Finding the Fourth Proportional to 6,114.76, 8,438.07 and 3,756.44

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Solution

The fourth proportional to 6,114.76, 8,438.07 and 3,756.44 is: 5,183.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,114.76 : 8,438.07 = 3,756.44 : x
  2. Step 2: Convert to fraction form
    6,114.76/8,438.07 = 3,756.44/x
  3. Step 3: Cross multiply
    6,114.76x = 8,438.07 × 3,756.44
  4. Step 4: Simplify right side
    6,114.76x = 31,697,138.85
  5. Step 5: Solve for x
    x = 31,697,138.85/6,114.76
  6. Step 6: Final answer
    x = 5,183.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.