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Finding the Fourth Proportional to 6,800.97, 9,385.02 and 4,112.85

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Solution

The fourth proportional to 6,800.97, 9,385.02 and 4,112.85 is: 5,675.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,800.97 : 9,385.02 = 4,112.85 : x
  2. Step 2: Convert to fraction form
    6,800.97/9,385.02 = 4,112.85/x
  3. Step 3: Cross multiply
    6,800.97x = 9,385.02 × 4,112.85
  4. Step 4: Simplify right side
    6,800.97x = 38,599,179.51
  5. Step 5: Solve for x
    x = 38,599,179.51/6,800.97
  6. Step 6: Final answer
    x = 5,675.54

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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.