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Finding the Fourth Proportional to 6,968.56, 9,616.12 and 3,824.16

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Solution

The fourth proportional to 6,968.56, 9,616.12 and 3,824.16 is: 5,277.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,968.56 : 9,616.12 = 3,824.16 : x
  2. Step 2: Convert to fraction form
    6,968.56/9,616.12 = 3,824.16/x
  3. Step 3: Cross multiply
    6,968.56x = 9,616.12 × 3,824.16
  4. Step 4: Simplify right side
    6,968.56x = 36,773,581.46
  5. Step 5: Solve for x
    x = 36,773,581.46/6,968.56
  6. Step 6: Final answer
    x = 5,277.07

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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.