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Finding the Fourth Proportional to 9,548.94, 14,323.37 and 5,194.08

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Solution

The fourth proportional to 9,548.94, 14,323.37 and 5,194.08 is: 7,791.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,548.94 : 14,323.37 = 5,194.08 : x
  2. Step 2: Convert to fraction form
    9,548.94/14,323.37 = 5,194.08/x
  3. Step 3: Cross multiply
    9,548.94x = 14,323.37 × 5,194.08
  4. Step 4: Simplify right side
    9,548.94x = 74,396,703.68
  5. Step 5: Solve for x
    x = 74,396,703.68/9,548.94
  6. Step 6: Final answer
    x = 7,791.09

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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.