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Finding the Fourth Proportional to 9,574.44, 14,361.36 and 4,896.39

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Solution

The fourth proportional to 9,574.44, 14,361.36 and 4,896.39 is: 7,344.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,574.44 : 14,361.36 = 4,896.39 : x
  2. Step 2: Convert to fraction form
    9,574.44/14,361.36 = 4,896.39/x
  3. Step 3: Cross multiply
    9,574.44x = 14,361.36 × 4,896.39
  4. Step 4: Simplify right side
    9,574.44x = 70,318,819.49
  5. Step 5: Solve for x
    x = 70,318,819.49/9,574.44
  6. Step 6: Final answer
    x = 7,344.43

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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.