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Finding the Fourth Proportional to 7,026.32, 9,696.42 and 3,882.62

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Solution

The fourth proportional to 7,026.32, 9,696.42 and 3,882.62 is: 5,358.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,026.32 : 9,696.42 = 3,882.62 : x
  2. Step 2: Convert to fraction form
    7,026.32/9,696.42 = 3,882.62/x
  3. Step 3: Cross multiply
    7,026.32x = 9,696.42 × 3,882.62
  4. Step 4: Simplify right side
    7,026.32x = 37,647,514.22
  5. Step 5: Solve for x
    x = 37,647,514.22/7,026.32
  6. Step 6: Final answer
    x = 5,358.07

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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.