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Finding the Fourth Proportional to 6,336.98, 8,744.70 and 3,683.96

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Solution

The fourth proportional to 6,336.98, 8,744.70 and 3,683.96 is: 5,083.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,336.98 : 8,744.70 = 3,683.96 : x
  2. Step 2: Convert to fraction form
    6,336.98/8,744.70 = 3,683.96/x
  3. Step 3: Cross multiply
    6,336.98x = 8,744.70 × 3,683.96
  4. Step 4: Simplify right side
    6,336.98x = 32,215,125.01
  5. Step 5: Solve for x
    x = 32,215,125.01/6,336.98
  6. Step 6: Final answer
    x = 5,083.67

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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.