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Finding the Fourth Proportional to 10,213.94, 14,096.54 and 6,234.20

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Solution

The fourth proportional to 10,213.94, 14,096.54 and 6,234.20 is: 8,603.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,213.94 : 14,096.54 = 6,234.20 : x
  2. Step 2: Convert to fraction form
    10,213.94/14,096.54 = 6,234.20/x
  3. Step 3: Cross multiply
    10,213.94x = 14,096.54 × 6,234.20
  4. Step 4: Simplify right side
    10,213.94x = 87,880,649.67
  5. Step 5: Solve for x
    x = 87,880,649.67/10,213.94
  6. Step 6: Final answer
    x = 8,603.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.