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Finding the Fourth Proportional to 6,968.77, 9,616.83 and 4,316.42

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Solution

The fourth proportional to 6,968.77, 9,616.83 and 4,316.42 is: 5,956.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,968.77 : 9,616.83 = 4,316.42 : x
  2. Step 2: Convert to fraction form
    6,968.77/9,616.83 = 4,316.42/x
  3. Step 3: Cross multiply
    6,968.77x = 9,616.83 × 4,316.42
  4. Step 4: Simplify right side
    6,968.77x = 41,510,285.20
  5. Step 5: Solve for x
    x = 41,510,285.20/6,968.77
  6. Step 6: Final answer
    x = 5,956.62

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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.