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Finding the Fourth Proportional to 7,142.70, 9,861.79 and 4,454.96

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Solution

The fourth proportional to 7,142.70, 9,861.79 and 4,454.96 is: 6,150.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,142.70 : 9,861.79 = 4,454.96 : x
  2. Step 2: Convert to fraction form
    7,142.70/9,861.79 = 4,454.96/x
  3. Step 3: Cross multiply
    7,142.70x = 9,861.79 × 4,454.96
  4. Step 4: Simplify right side
    7,142.70x = 43,933,879.98
  5. Step 5: Solve for x
    x = 43,933,879.98/7,142.70
  6. Step 6: Final answer
    x = 6,150.88

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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.