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Finding the Fourth Proportional to 9,533.94, 14,300.83 and 2,608.44

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Solution

The fourth proportional to 9,533.94, 14,300.83 and 2,608.44 is: 3,912.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,533.94 : 14,300.83 = 2,608.44 : x
  2. Step 2: Convert to fraction form
    9,533.94/14,300.83 = 2,608.44/x
  3. Step 3: Cross multiply
    9,533.94x = 14,300.83 × 2,608.44
  4. Step 4: Simplify right side
    9,533.94x = 37,302,857.01
  5. Step 5: Solve for x
    x = 37,302,857.01/9,533.94
  6. Step 6: Final answer
    x = 3,912.64

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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.