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Finding the Fourth Proportional to 6,964.92, 9,616.14 and 4,316.22

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Solution

The fourth proportional to 6,964.92, 9,616.14 and 4,316.22 is: 5,959.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,964.92 : 9,616.14 = 4,316.22 : x
  2. Step 2: Convert to fraction form
    6,964.92/9,616.14 = 4,316.22/x
  3. Step 3: Cross multiply
    6,964.92x = 9,616.14 × 4,316.22
  4. Step 4: Simplify right side
    6,964.92x = 41,505,375.79
  5. Step 5: Solve for x
    x = 41,505,375.79/6,964.92
  6. Step 6: Final answer
    x = 5,959.20

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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.