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Finding the Fourth Proportional to 9,941.46, 14,912.46 and 6,019.44

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Solution

The fourth proportional to 9,941.46, 14,912.46 and 6,019.44 is: 9,029.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,941.46 : 14,912.46 = 6,019.44 : x
  2. Step 2: Convert to fraction form
    9,941.46/14,912.46 = 6,019.44/x
  3. Step 3: Cross multiply
    9,941.46x = 14,912.46 × 6,019.44
  4. Step 4: Simplify right side
    9,941.46x = 89,764,658.22
  5. Step 5: Solve for x
    x = 89,764,658.22/9,941.46
  6. Step 6: Final answer
    x = 9,029.32

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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.