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Finding the Fourth Proportional to 9,489.41, 14,234.64 and 3,943.32

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Solution

The fourth proportional to 9,489.41, 14,234.64 and 3,943.32 is: 5,915.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,489.41 : 14,234.64 = 3,943.32 : x
  2. Step 2: Convert to fraction form
    9,489.41/14,234.64 = 3,943.32/x
  3. Step 3: Cross multiply
    9,489.41x = 14,234.64 × 3,943.32
  4. Step 4: Simplify right side
    9,489.41x = 56,131,705.02
  5. Step 5: Solve for x
    x = 56,131,705.02/9,489.41
  6. Step 6: Final answer
    x = 5,915.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.