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Finding the Fourth Proportional to 6,072.40, 9,105.90 and 2,786.50

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Solution

The fourth proportional to 6,072.40, 9,105.90 and 2,786.50 is: 4,178.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,072.40 : 9,105.90 = 2,786.50 : x
  2. Step 2: Convert to fraction form
    6,072.40/9,105.90 = 2,786.50/x
  3. Step 3: Cross multiply
    6,072.40x = 9,105.90 × 2,786.50
  4. Step 4: Simplify right side
    6,072.40x = 25,373,590.35
  5. Step 5: Solve for x
    x = 25,373,590.35/6,072.40
  6. Step 6: Final answer
    x = 4,178.51

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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.