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Finding the Fourth Proportional to 9,923.01, 13,692.75 and 5,944.02

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Solution

The fourth proportional to 9,923.01, 13,692.75 and 5,944.02 is: 8,202.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,923.01 : 13,692.75 = 5,944.02 : x
  2. Step 2: Convert to fraction form
    9,923.01/13,692.75 = 5,944.02/x
  3. Step 3: Cross multiply
    9,923.01x = 13,692.75 × 5,944.02
  4. Step 4: Simplify right side
    9,923.01x = 81,389,979.86
  5. Step 5: Solve for x
    x = 81,389,979.86/9,923.01
  6. Step 6: Final answer
    x = 8,202.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.