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Finding the Fourth Proportional to 12,105.42, 16,705.69 and 6,728.34

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Solution

The fourth proportional to 12,105.42, 16,705.69 and 6,728.34 is: 9,285.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,105.42 : 16,705.69 = 6,728.34 : x
  2. Step 2: Convert to fraction form
    12,105.42/16,705.69 = 6,728.34/x
  3. Step 3: Cross multiply
    12,105.42x = 16,705.69 × 6,728.34
  4. Step 4: Simplify right side
    12,105.42x = 112,401,562.25
  5. Step 5: Solve for x
    x = 112,401,562.25/12,105.42
  6. Step 6: Final answer
    x = 9,285.23

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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.