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Finding the Fourth Proportional to 6,968.14, 9,608.69 and 5,375.04

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Solution

The fourth proportional to 6,968.14, 9,608.69 and 5,375.04 is: 7,411.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,968.14 : 9,608.69 = 5,375.04 : x
  2. Step 2: Convert to fraction form
    6,968.14/9,608.69 = 5,375.04/x
  3. Step 3: Cross multiply
    6,968.14x = 9,608.69 × 5,375.04
  4. Step 4: Simplify right side
    6,968.14x = 51,647,106.54
  5. Step 5: Solve for x
    x = 51,647,106.54/6,968.14
  6. Step 6: Final answer
    x = 7,411.90

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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.