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Finding the Fourth Proportional to 6,738.84, 10,098.90 and 3,967.32

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Solution

The fourth proportional to 6,738.84, 10,098.90 and 3,967.32 is: 5,945.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,738.84 : 10,098.90 = 3,967.32 : x
  2. Step 2: Convert to fraction form
    6,738.84/10,098.90 = 3,967.32/x
  3. Step 3: Cross multiply
    6,738.84x = 10,098.90 × 3,967.32
  4. Step 4: Simplify right side
    6,738.84x = 40,065,567.95
  5. Step 5: Solve for x
    x = 40,065,567.95/6,738.84
  6. Step 6: Final answer
    x = 5,945.47

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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.