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Finding the Fourth Proportional to 6,114.84, 8,438.22 and 3,756.12

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Solution

The fourth proportional to 6,114.84, 8,438.22 and 3,756.12 is: 5,183.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,114.84 : 8,438.22 = 3,756.12 : x
  2. Step 2: Convert to fraction form
    6,114.84/8,438.22 = 3,756.12/x
  3. Step 3: Cross multiply
    6,114.84x = 8,438.22 × 3,756.12
  4. Step 4: Simplify right side
    6,114.84x = 31,694,966.91
  5. Step 5: Solve for x
    x = 31,694,966.91/6,114.84
  6. Step 6: Final answer
    x = 5,183.29

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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.