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Finding the Fourth Proportional to 6,096.12, 8,412.50 and 3,443.44

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Solution

The fourth proportional to 6,096.12, 8,412.50 and 3,443.44 is: 4,751.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,096.12 : 8,412.50 = 3,443.44 : x
  2. Step 2: Convert to fraction form
    6,096.12/8,412.50 = 3,443.44/x
  3. Step 3: Cross multiply
    6,096.12x = 8,412.50 × 3,443.44
  4. Step 4: Simplify right side
    6,096.12x = 28,967,939
  5. Step 5: Solve for x
    x = 28,967,939/6,096.12
  6. Step 6: Final answer
    x = 4,751.86

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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.