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Finding the Fourth Proportional to 6,968.60, 9,616.63 and 3,824.72

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Solution

The fourth proportional to 6,968.60, 9,616.63 and 3,824.72 is: 5,278.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,968.60 : 9,616.63 = 3,824.72 : x
  2. Step 2: Convert to fraction form
    6,968.60/9,616.63 = 3,824.72/x
  3. Step 3: Cross multiply
    6,968.60x = 9,616.63 × 3,824.72
  4. Step 4: Simplify right side
    6,968.60x = 36,780,859.45
  5. Step 5: Solve for x
    x = 36,780,859.45/6,968.60
  6. Step 6: Final answer
    x = 5,278.09

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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.