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Finding the Fourth Proportional to 7,025.96, 9,695.34 and 3,882.38

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Solution

The fourth proportional to 7,025.96, 9,695.34 and 3,882.38 is: 5,357.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,025.96 : 9,695.34 = 3,882.38 : x
  2. Step 2: Convert to fraction form
    7,025.96/9,695.34 = 3,882.38/x
  3. Step 3: Cross multiply
    7,025.96x = 9,695.34 × 3,882.38
  4. Step 4: Simplify right side
    7,025.96x = 37,640,994.11
  5. Step 5: Solve for x
    x = 37,640,994.11/7,025.96
  6. Step 6: Final answer
    x = 5,357.42

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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.