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Finding the Fourth Proportional to 6,138.80, 8,477.16 and 4,469.84

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Solution

The fourth proportional to 6,138.80, 8,477.16 and 4,469.84 is: 6,172.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,138.80 : 8,477.16 = 4,469.84 : x
  2. Step 2: Convert to fraction form
    6,138.80/8,477.16 = 4,469.84/x
  3. Step 3: Cross multiply
    6,138.80x = 8,477.16 × 4,469.84
  4. Step 4: Simplify right side
    6,138.80x = 37,891,548.85
  5. Step 5: Solve for x
    x = 37,891,548.85/6,138.80
  6. Step 6: Final answer
    x = 6,172.47

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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.