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Finding the Fourth Proportional to 6,961.88, 9,608.00 and 3,818.67

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Solution

The fourth proportional to 6,961.88, 9,608.00 and 3,818.67 is: 5,270.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,961.88 : 9,608.00 = 3,818.67 : x
  2. Step 2: Convert to fraction form
    6,961.88/9,608.00 = 3,818.67/x
  3. Step 3: Cross multiply
    6,961.88x = 9,608.00 × 3,818.67
  4. Step 4: Simplify right side
    6,961.88x = 36,689,762.27
  5. Step 5: Solve for x
    x = 36,689,762.27/6,961.88
  6. Step 6: Final answer
    x = 5,270.10

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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.