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Finding the Fourth Proportional to 6,409.41, 9,614.61 and 2,462.55

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Solution

The fourth proportional to 6,409.41, 9,614.61 and 2,462.55 is: 3,694.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,409.41 : 9,614.61 = 2,462.55 : x
  2. Step 2: Convert to fraction form
    6,409.41/9,614.61 = 2,462.55/x
  3. Step 3: Cross multiply
    6,409.41x = 9,614.61 × 2,462.55
  4. Step 4: Simplify right side
    6,409.41x = 23,676,457.86
  5. Step 5: Solve for x
    x = 23,676,457.86/6,409.41
  6. Step 6: Final answer
    x = 3,694.02

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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.