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Finding the Fourth Proportional to 7,026.10, 9,696 and 3,882.30

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Solution

The fourth proportional to 7,026.10, 9,696 and 3,882.30 is: 5,357.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,026.10 : 9,696 = 3,882.30 : x
  2. Step 2: Convert to fraction form
    7,026.10/9,696 = 3,882.30/x
  3. Step 3: Cross multiply
    7,026.10x = 9,696 × 3,882.30
  4. Step 4: Simplify right side
    7,026.10x = 37,642,780.80
  5. Step 5: Solve for x
    x = 37,642,780.80/7,026.10
  6. Step 6: Final answer
    x = 5,357.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.