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Finding the Fourth Proportional to 6,411.56, 9,618.35 and 2,462.66

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Solution

The fourth proportional to 6,411.56, 9,618.35 and 2,462.66 is: 3,694.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,411.56 : 9,618.35 = 2,462.66 : x
  2. Step 2: Convert to fraction form
    6,411.56/9,618.35 = 2,462.66/x
  3. Step 3: Cross multiply
    6,411.56x = 9,618.35 × 2,462.66
  4. Step 4: Simplify right side
    6,411.56x = 23,686,665.41
  5. Step 5: Solve for x
    x = 23,686,665.41/6,411.56
  6. Step 6: Final answer
    x = 3,694.37

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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.