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Finding the Fourth Proportional to 6,328.94, 8,734 and 3,496.24

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Solution

The fourth proportional to 6,328.94, 8,734 and 3,496.24 is: 4,824.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,328.94 : 8,734 = 3,496.24 : x
  2. Step 2: Convert to fraction form
    6,328.94/8,734 = 3,496.24/x
  3. Step 3: Cross multiply
    6,328.94x = 8,734 × 3,496.24
  4. Step 4: Simplify right side
    6,328.94x = 30,536,160.16
  5. Step 5: Solve for x
    x = 30,536,160.16/6,328.94
  6. Step 6: Final answer
    x = 4,824.85

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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.