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Finding the Fourth Proportional to 6,773.32, 9,353.78 and 4,416.76

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Solution

The fourth proportional to 6,773.32, 9,353.78 and 4,416.76 is: 6,099.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,773.32 : 9,353.78 = 4,416.76 : x
  2. Step 2: Convert to fraction form
    6,773.32/9,353.78 = 4,416.76/x
  3. Step 3: Cross multiply
    6,773.32x = 9,353.78 × 4,416.76
  4. Step 4: Simplify right side
    6,773.32x = 41,313,401.35
  5. Step 5: Solve for x
    x = 41,313,401.35/6,773.32
  6. Step 6: Final answer
    x = 6,099.43

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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.