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Finding the Fourth Proportional to 6,372.42, 9,558.90 and 3,409.62

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Solution

The fourth proportional to 6,372.42, 9,558.90 and 3,409.62 is: 5,114.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,372.42 : 9,558.90 = 3,409.62 : x
  2. Step 2: Convert to fraction form
    6,372.42/9,558.90 = 3,409.62/x
  3. Step 3: Cross multiply
    6,372.42x = 9,558.90 × 3,409.62
  4. Step 4: Simplify right side
    6,372.42x = 32,592,216.62
  5. Step 5: Solve for x
    x = 32,592,216.62/6,372.42
  6. Step 6: Final answer
    x = 5,114.57

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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.