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Finding the Fourth Proportional to 6,383.79, 8,813.88 and 5,709.47

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Solution

The fourth proportional to 6,383.79, 8,813.88 and 5,709.47 is: 7,882.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,383.79 : 8,813.88 = 5,709.47 : x
  2. Step 2: Convert to fraction form
    6,383.79/8,813.88 = 5,709.47/x
  3. Step 3: Cross multiply
    6,383.79x = 8,813.88 × 5,709.47
  4. Step 4: Simplify right side
    6,383.79x = 50,322,539.37
  5. Step 5: Solve for x
    x = 50,322,539.37/6,383.79
  6. Step 6: Final answer
    x = 7,882.86

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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.