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Finding the Fourth Proportional to 6,789.36, 9,380.97 and 4,897.20

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Solution

The fourth proportional to 6,789.36, 9,380.97 and 4,897.20 is: 6,766.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,789.36 : 9,380.97 = 4,897.20 : x
  2. Step 2: Convert to fraction form
    6,789.36/9,380.97 = 4,897.20/x
  3. Step 3: Cross multiply
    6,789.36x = 9,380.97 × 4,897.20
  4. Step 4: Simplify right side
    6,789.36x = 45,940,486.28
  5. Step 5: Solve for x
    x = 45,940,486.28/6,789.36
  6. Step 6: Final answer
    x = 6,766.54

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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.