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Finding the Fourth Proportional to 6,164.87, 9,247.30 and 5,238.23

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Solution

The fourth proportional to 6,164.87, 9,247.30 and 5,238.23 is: 7,857.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,164.87 : 9,247.30 = 5,238.23 : x
  2. Step 2: Convert to fraction form
    6,164.87/9,247.30 = 5,238.23/x
  3. Step 3: Cross multiply
    6,164.87x = 9,247.30 × 5,238.23
  4. Step 4: Simplify right side
    6,164.87x = 48,439,424.95
  5. Step 5: Solve for x
    x = 48,439,424.95/6,164.87
  6. Step 6: Final answer
    x = 7,857.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.