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Finding the Fourth Proportional to 6,758.37, 9,327.24 and 4,105.98

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Solution

The fourth proportional to 6,758.37, 9,327.24 and 4,105.98 is: 5,666.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,758.37 : 9,327.24 = 4,105.98 : x
  2. Step 2: Convert to fraction form
    6,758.37/9,327.24 = 4,105.98/x
  3. Step 3: Cross multiply
    6,758.37x = 9,327.24 × 4,105.98
  4. Step 4: Simplify right side
    6,758.37x = 38,297,460.90
  5. Step 5: Solve for x
    x = 38,297,460.90/6,758.37
  6. Step 6: Final answer
    x = 5,666.67

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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.