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Finding the Fourth Proportional to 6,372.46, 9,558.99 and 3,409.68

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Solution

The fourth proportional to 6,372.46, 9,558.99 and 3,409.68 is: 5,114.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,372.46 : 9,558.99 = 3,409.68 : x
  2. Step 2: Convert to fraction form
    6,372.46/9,558.99 = 3,409.68/x
  3. Step 3: Cross multiply
    6,372.46x = 9,558.99 × 3,409.68
  4. Step 4: Simplify right side
    6,372.46x = 32,593,097.02
  5. Step 5: Solve for x
    x = 32,593,097.02/6,372.46
  6. Step 6: Final answer
    x = 5,114.68

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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.