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Finding the Fourth Proportional to 6,411.28, 9,616.54 and 3,812

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Solution

The fourth proportional to 6,411.28, 9,616.54 and 3,812 is: 5,717.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,411.28 : 9,616.54 = 3,812 : x
  2. Step 2: Convert to fraction form
    6,411.28/9,616.54 = 3,812/x
  3. Step 3: Cross multiply
    6,411.28x = 9,616.54 × 3,812
  4. Step 4: Simplify right side
    6,411.28x = 36,658,250.48
  5. Step 5: Solve for x
    x = 36,658,250.48/6,411.28
  6. Step 6: Final answer
    x = 5,717.77

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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.