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Finding the Fourth Proportional to 6,677.78, 9,205.11 and 4,996.64

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Solution

The fourth proportional to 6,677.78, 9,205.11 and 4,996.64 is: 6,887.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,677.78 : 9,205.11 = 4,996.64 : x
  2. Step 2: Convert to fraction form
    6,677.78/9,205.11 = 4,996.64/x
  3. Step 3: Cross multiply
    6,677.78x = 9,205.11 × 4,996.64
  4. Step 4: Simplify right side
    6,677.78x = 45,994,620.83
  5. Step 5: Solve for x
    x = 45,994,620.83/6,677.78
  6. Step 6: Final answer
    x = 6,887.71

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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.