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Finding the Fourth Proportional to 9,381.94, 14,069.38 and 3,832.32

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Solution

The fourth proportional to 9,381.94, 14,069.38 and 3,832.32 is: 5,747.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,381.94 : 14,069.38 = 3,832.32 : x
  2. Step 2: Convert to fraction form
    9,381.94/14,069.38 = 3,832.32/x
  3. Step 3: Cross multiply
    9,381.94x = 14,069.38 × 3,832.32
  4. Step 4: Simplify right side
    9,381.94x = 53,918,304.02
  5. Step 5: Solve for x
    x = 53,918,304.02/9,381.94
  6. Step 6: Final answer
    x = 5,747.03

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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.