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Finding the Fourth Proportional to 6,968.57, 9,616.59 and 3,824.69

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Solution

The fourth proportional to 6,968.57, 9,616.59 and 3,824.69 is: 5,278.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,968.57 : 9,616.59 = 3,824.69 : x
  2. Step 2: Convert to fraction form
    6,968.57/9,616.59 = 3,824.69/x
  3. Step 3: Cross multiply
    6,968.57x = 9,616.59 × 3,824.69
  4. Step 4: Simplify right side
    6,968.57x = 36,780,427.52
  5. Step 5: Solve for x
    x = 36,780,427.52/6,968.57
  6. Step 6: Final answer
    x = 5,278.05

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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.