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Finding the Fourth Proportional to 6,678, 9,215.76 and 4,026.24

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Solution

The fourth proportional to 6,678, 9,215.76 and 4,026.24 is: 5,556.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,678 : 9,215.76 = 4,026.24 : x
  2. Step 2: Convert to fraction form
    6,678/9,215.76 = 4,026.24/x
  3. Step 3: Cross multiply
    6,678x = 9,215.76 × 4,026.24
  4. Step 4: Simplify right side
    6,678x = 37,104,861.54
  5. Step 5: Solve for x
    x = 37,104,861.54/6,678
  6. Step 6: Final answer
    x = 5,556.28

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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.