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Finding the Fourth Proportional to 6,096.53, 8,412.05 and 3,442.97

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Solution

The fourth proportional to 6,096.53, 8,412.05 and 3,442.97 is: 4,750.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,096.53 : 8,412.05 = 3,442.97 : x
  2. Step 2: Convert to fraction form
    6,096.53/8,412.05 = 3,442.97/x
  3. Step 3: Cross multiply
    6,096.53x = 8,412.05 × 3,442.97
  4. Step 4: Simplify right side
    6,096.53x = 28,962,418.57
  5. Step 5: Solve for x
    x = 28,962,418.57/6,096.53
  6. Step 6: Final answer
    x = 4,750.64

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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.