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Finding the Fourth Proportional to 6,131.34, 9,188.21 and 3,493.38

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Solution

The fourth proportional to 6,131.34, 9,188.21 and 3,493.38 is: 5,235.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,131.34 : 9,188.21 = 3,493.38 : x
  2. Step 2: Convert to fraction form
    6,131.34/9,188.21 = 3,493.38/x
  3. Step 3: Cross multiply
    6,131.34x = 9,188.21 × 3,493.38
  4. Step 4: Simplify right side
    6,131.34x = 32,097,917.78
  5. Step 5: Solve for x
    x = 32,097,917.78/6,131.34
  6. Step 6: Final answer
    x = 5,235.06

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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.