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Finding the Fourth Proportional to 6,678.78, 9,206.49 and 4,997.64

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Solution

The fourth proportional to 6,678.78, 9,206.49 and 4,997.64 is: 6,889.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,678.78 : 9,206.49 = 4,997.64 : x
  2. Step 2: Convert to fraction form
    6,678.78/9,206.49 = 4,997.64/x
  3. Step 3: Cross multiply
    6,678.78x = 9,206.49 × 4,997.64
  4. Step 4: Simplify right side
    6,678.78x = 46,010,722.68
  5. Step 5: Solve for x
    x = 46,010,722.68/6,678.78
  6. Step 6: Final answer
    x = 6,889.09

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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.