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Finding the Fourth Proportional to 7,127.92, 9,783.83 and 6,823.43

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Solution

The fourth proportional to 7,127.92, 9,783.83 and 6,823.43 is: 9,365.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,127.92 : 9,783.83 = 6,823.43 : x
  2. Step 2: Convert to fraction form
    7,127.92/9,783.83 = 6,823.43/x
  3. Step 3: Cross multiply
    7,127.92x = 9,783.83 × 6,823.43
  4. Step 4: Simplify right side
    7,127.92x = 66,759,245.58
  5. Step 5: Solve for x
    x = 66,759,245.58/7,127.92
  6. Step 6: Final answer
    x = 9,365.88

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.