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Finding the Fourth Proportional to 6,474.72, 8,936.88 and 4,616.16

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Solution

The fourth proportional to 6,474.72, 8,936.88 and 4,616.16 is: 6,371.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,474.72 : 8,936.88 = 4,616.16 : x
  2. Step 2: Convert to fraction form
    6,474.72/8,936.88 = 4,616.16/x
  3. Step 3: Cross multiply
    6,474.72x = 8,936.88 × 4,616.16
  4. Step 4: Simplify right side
    6,474.72x = 41,254,067.98
  5. Step 5: Solve for x
    x = 41,254,067.98/6,474.72
  6. Step 6: Final answer
    x = 6,371.56

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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.