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Finding the Fourth Proportional to 6,819.84, 9,408.96 and 4,463.36

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Solution

The fourth proportional to 6,819.84, 9,408.96 and 4,463.36 is: 6,157.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,819.84 : 9,408.96 = 4,463.36 : x
  2. Step 2: Convert to fraction form
    6,819.84/9,408.96 = 4,463.36/x
  3. Step 3: Cross multiply
    6,819.84x = 9,408.96 × 4,463.36
  4. Step 4: Simplify right side
    6,819.84x = 41,995,575.71
  5. Step 5: Solve for x
    x = 41,995,575.71/6,819.84
  6. Step 6: Final answer
    x = 6,157.85

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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.