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Finding the Fourth Proportional to 7,025.34, 9,694.82 and 3,838.52

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Solution

The fourth proportional to 7,025.34, 9,694.82 and 3,838.52 is: 5,297.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,025.34 : 9,694.82 = 3,838.52 : x
  2. Step 2: Convert to fraction form
    7,025.34/9,694.82 = 3,838.52/x
  3. Step 3: Cross multiply
    7,025.34x = 9,694.82 × 3,838.52
  4. Step 4: Simplify right side
    7,025.34x = 37,213,760.47
  5. Step 5: Solve for x
    x = 37,213,760.47/7,025.34
  6. Step 6: Final answer
    x = 5,297.08

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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.