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Finding the Fourth Proportional to 6,783.35, 9,355.87 and 5,942.59

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Solution

The fourth proportional to 6,783.35, 9,355.87 and 5,942.59 is: 8,196.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,783.35 : 9,355.87 = 5,942.59 : x
  2. Step 2: Convert to fraction form
    6,783.35/9,355.87 = 5,942.59/x
  3. Step 3: Cross multiply
    6,783.35x = 9,355.87 × 5,942.59
  4. Step 4: Simplify right side
    6,783.35x = 55,598,161.39
  5. Step 5: Solve for x
    x = 55,598,161.39/6,783.35
  6. Step 6: Final answer
    x = 8,196.27

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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.