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Finding the Fourth Proportional to 6,401.35, 8,834.21 and 3,748.96

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Solution

The fourth proportional to 6,401.35, 8,834.21 and 3,748.96 is: 5,173.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,401.35 : 8,834.21 = 3,748.96 : x
  2. Step 2: Convert to fraction form
    6,401.35/8,834.21 = 3,748.96/x
  3. Step 3: Cross multiply
    6,401.35x = 8,834.21 × 3,748.96
  4. Step 4: Simplify right side
    6,401.35x = 33,119,099.92
  5. Step 5: Solve for x
    x = 33,119,099.92/6,401.35
  6. Step 6: Final answer
    x = 5,173.77

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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.