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Finding the Fourth Proportional to 9,485.57, 14,230.46 and 2,912.42

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Solution

The fourth proportional to 9,485.57, 14,230.46 and 2,912.42 is: 4,369.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,485.57 : 14,230.46 = 2,912.42 : x
  2. Step 2: Convert to fraction form
    9,485.57/14,230.46 = 2,912.42/x
  3. Step 3: Cross multiply
    9,485.57x = 14,230.46 × 2,912.42
  4. Step 4: Simplify right side
    9,485.57x = 41,445,012.44
  5. Step 5: Solve for x
    x = 41,445,012.44/9,485.57
  6. Step 6: Final answer
    x = 4,369.27

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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.