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Finding the Fourth Proportional to 6,819.34, 9,410.96 and 3,835.16

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Solution

The fourth proportional to 6,819.34, 9,410.96 and 3,835.16 is: 5,292.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,819.34 : 9,410.96 = 3,835.16 : x
  2. Step 2: Convert to fraction form
    6,819.34/9,410.96 = 3,835.16/x
  3. Step 3: Cross multiply
    6,819.34x = 9,410.96 × 3,835.16
  4. Step 4: Simplify right side
    6,819.34x = 36,092,537.35
  5. Step 5: Solve for x
    x = 36,092,537.35/6,819.34
  6. Step 6: Final answer
    x = 5,292.67

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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.