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Finding the Fourth Proportional to 7,025.94, 9,696.12 and 3,882.32

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Solution

The fourth proportional to 7,025.94, 9,696.12 and 3,882.32 is: 5,357.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,025.94 : 9,696.12 = 3,882.32 : x
  2. Step 2: Convert to fraction form
    7,025.94/9,696.12 = 3,882.32/x
  3. Step 3: Cross multiply
    7,025.94x = 9,696.12 × 3,882.32
  4. Step 4: Simplify right side
    7,025.94x = 37,643,440.60
  5. Step 5: Solve for x
    x = 37,643,440.60/7,025.94
  6. Step 6: Final answer
    x = 5,357.78

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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.