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Finding the Fourth Proportional to 6,166.21, 8,506.97 and 3,927.68

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Solution

The fourth proportional to 6,166.21, 8,506.97 and 3,927.68 is: 5,418.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,166.21 : 8,506.97 = 3,927.68 : x
  2. Step 2: Convert to fraction form
    6,166.21/8,506.97 = 3,927.68/x
  3. Step 3: Cross multiply
    6,166.21x = 8,506.97 × 3,927.68
  4. Step 4: Simplify right side
    6,166.21x = 33,412,655.93
  5. Step 5: Solve for x
    x = 33,412,655.93/6,166.21
  6. Step 6: Final answer
    x = 5,418.67

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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.