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Finding the Fourth Proportional to 6,968.44, 9,616.26 and 3,824.20

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Solution

The fourth proportional to 6,968.44, 9,616.26 and 3,824.20 is: 5,277.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,968.44 : 9,616.26 = 3,824.20 : x
  2. Step 2: Convert to fraction form
    6,968.44/9,616.26 = 3,824.20/x
  3. Step 3: Cross multiply
    6,968.44x = 9,616.26 × 3,824.20
  4. Step 4: Simplify right side
    6,968.44x = 36,774,501.49
  5. Step 5: Solve for x
    x = 36,774,501.49/6,968.44
  6. Step 6: Final answer
    x = 5,277.29

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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.