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Finding the Fourth Proportional to 6,160.42, 9,232.82 and 3,938.39

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Solution

The fourth proportional to 6,160.42, 9,232.82 and 3,938.39 is: 5,902.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,160.42 : 9,232.82 = 3,938.39 : x
  2. Step 2: Convert to fraction form
    6,160.42/9,232.82 = 3,938.39/x
  3. Step 3: Cross multiply
    6,160.42x = 9,232.82 × 3,938.39
  4. Step 4: Simplify right side
    6,160.42x = 36,362,429.50
  5. Step 5: Solve for x
    x = 36,362,429.50/6,160.42
  6. Step 6: Final answer
    x = 5,902.59

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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.