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Finding the Fourth Proportional to 6,316.41, 9,469.22 and 2,423.61

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Solution

The fourth proportional to 6,316.41, 9,469.22 and 2,423.61 is: 3,633.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,316.41 : 9,469.22 = 2,423.61 : x
  2. Step 2: Convert to fraction form
    6,316.41/9,469.22 = 2,423.61/x
  3. Step 3: Cross multiply
    6,316.41x = 9,469.22 × 2,423.61
  4. Step 4: Simplify right side
    6,316.41x = 22,949,684.17
  5. Step 5: Solve for x
    x = 22,949,684.17/6,316.41
  6. Step 6: Final answer
    x = 3,633.34

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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.