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Finding the Fourth Proportional to 6,676.41, 9,213.59 and 3,692.46

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Solution

The fourth proportional to 6,676.41, 9,213.59 and 3,692.46 is: 5,095.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,676.41 : 9,213.59 = 3,692.46 : x
  2. Step 2: Convert to fraction form
    6,676.41/9,213.59 = 3,692.46/x
  3. Step 3: Cross multiply
    6,676.41x = 9,213.59 × 3,692.46
  4. Step 4: Simplify right side
    6,676.41x = 34,020,812.53
  5. Step 5: Solve for x
    x = 34,020,812.53/6,676.41
  6. Step 6: Final answer
    x = 5,095.67

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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.