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Finding the Fourth Proportional to 6,234.64, 8,603.78 and 3,401.99

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Solution

The fourth proportional to 6,234.64, 8,603.78 and 3,401.99 is: 4,694.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,234.64 : 8,603.78 = 3,401.99 : x
  2. Step 2: Convert to fraction form
    6,234.64/8,603.78 = 3,401.99/x
  3. Step 3: Cross multiply
    6,234.64x = 8,603.78 × 3,401.99
  4. Step 4: Simplify right side
    6,234.64x = 29,269,989.09
  5. Step 5: Solve for x
    x = 29,269,989.09/6,234.64
  6. Step 6: Final answer
    x = 4,694.74

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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.