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Finding the Fourth Proportional to 8,842.35, 12,200.24 and 5,694.75

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Solution

The fourth proportional to 8,842.35, 12,200.24 and 5,694.75 is: 7,857.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,842.35 : 12,200.24 = 5,694.75 : x
  2. Step 2: Convert to fraction form
    8,842.35/12,200.24 = 5,694.75/x
  3. Step 3: Cross multiply
    8,842.35x = 12,200.24 × 5,694.75
  4. Step 4: Simplify right side
    8,842.35x = 69,477,288.27
  5. Step 5: Solve for x
    x = 69,477,288.27/8,842.35
  6. Step 6: Final answer
    x = 7,857.33

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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.