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Finding the Fourth Proportional to 6,592.56, 9,894.96 and 4,131.96

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Solution

The fourth proportional to 6,592.56, 9,894.96 and 4,131.96 is: 6,201.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,592.56 : 9,894.96 = 4,131.96 : x
  2. Step 2: Convert to fraction form
    6,592.56/9,894.96 = 4,131.96/x
  3. Step 3: Cross multiply
    6,592.56x = 9,894.96 × 4,131.96
  4. Step 4: Simplify right side
    6,592.56x = 40,885,578.92
  5. Step 5: Solve for x
    x = 40,885,578.92/6,592.56
  6. Step 6: Final answer
    x = 6,201.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.