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Finding the Fourth Proportional to 6,562.82, 9,057.83 and 6,267.58

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Solution

The fourth proportional to 6,562.82, 9,057.83 and 6,267.58 is: 8,650.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,562.82 : 9,057.83 = 6,267.58 : x
  2. Step 2: Convert to fraction form
    6,562.82/9,057.83 = 6,267.58/x
  3. Step 3: Cross multiply
    6,562.82x = 9,057.83 × 6,267.58
  4. Step 4: Simplify right side
    6,562.82x = 56,770,620.17
  5. Step 5: Solve for x
    x = 56,770,620.17/6,562.82
  6. Step 6: Final answer
    x = 8,650.34

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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.