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Finding the Fourth Proportional to 6,671.83, 9,178.31 and 5,768.83

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Solution

The fourth proportional to 6,671.83, 9,178.31 and 5,768.83 is: 7,936.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,671.83 : 9,178.31 = 5,768.83 : x
  2. Step 2: Convert to fraction form
    6,671.83/9,178.31 = 5,768.83/x
  3. Step 3: Cross multiply
    6,671.83x = 9,178.31 × 5,768.83
  4. Step 4: Simplify right side
    6,671.83x = 52,948,110.08
  5. Step 5: Solve for x
    x = 52,948,110.08/6,671.83
  6. Step 6: Final answer
    x = 7,936.07

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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.