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Finding the Fourth Proportional to 6,682.14, 9,215.76 and 5,007.48

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Solution

The fourth proportional to 6,682.14, 9,215.76 and 5,007.48 is: 6,906.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,682.14 : 9,215.76 = 5,007.48 : x
  2. Step 2: Convert to fraction form
    6,682.14/9,215.76 = 5,007.48/x
  3. Step 3: Cross multiply
    6,682.14x = 9,215.76 × 5,007.48
  4. Step 4: Simplify right side
    6,682.14x = 46,147,733.88
  5. Step 5: Solve for x
    x = 46,147,733.88/6,682.14
  6. Step 6: Final answer
    x = 6,906.13

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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.