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Finding the Fourth Proportional to 6,941, 9,578.60 and 3,797.16

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Solution

The fourth proportional to 6,941, 9,578.60 and 3,797.16 is: 5,240.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,941 : 9,578.60 = 3,797.16 : x
  2. Step 2: Convert to fraction form
    6,941/9,578.60 = 3,797.16/x
  3. Step 3: Cross multiply
    6,941x = 9,578.60 × 3,797.16
  4. Step 4: Simplify right side
    6,941x = 36,371,476.78
  5. Step 5: Solve for x
    x = 36,371,476.78/6,941
  6. Step 6: Final answer
    x = 5,240.09

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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.