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Finding the Fourth Proportional to 7,168.02, 9,896.69 and 5,486.42

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Solution

The fourth proportional to 7,168.02, 9,896.69 and 5,486.42 is: 7,574.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,168.02 : 9,896.69 = 5,486.42 : x
  2. Step 2: Convert to fraction form
    7,168.02/9,896.69 = 5,486.42/x
  3. Step 3: Cross multiply
    7,168.02x = 9,896.69 × 5,486.42
  4. Step 4: Simplify right side
    7,168.02x = 54,297,321.03
  5. Step 5: Solve for x
    x = 54,297,321.03/7,168.02
  6. Step 6: Final answer
    x = 7,574.94

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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.