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Finding the Fourth Proportional to 7,969.14, 10,997.64 and 4,613.01

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Solution

The fourth proportional to 7,969.14, 10,997.64 and 4,613.01 is: 6,366.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,969.14 : 10,997.64 = 4,613.01 : x
  2. Step 2: Convert to fraction form
    7,969.14/10,997.64 = 4,613.01/x
  3. Step 3: Cross multiply
    7,969.14x = 10,997.64 × 4,613.01
  4. Step 4: Simplify right side
    7,969.14x = 50,732,223.30
  5. Step 5: Solve for x
    x = 50,732,223.30/7,969.14
  6. Step 6: Final answer
    x = 6,366.09

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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.