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Finding the Fourth Proportional to 9,538.75, 14,305.59 and 6,757.21

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Solution

The fourth proportional to 9,538.75, 14,305.59 and 6,757.21 is: 10,134.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,538.75 : 14,305.59 = 6,757.21 : x
  2. Step 2: Convert to fraction form
    9,538.75/14,305.59 = 6,757.21/x
  3. Step 3: Cross multiply
    9,538.75x = 14,305.59 × 6,757.21
  4. Step 4: Simplify right side
    9,538.75x = 96,665,840.04
  5. Step 5: Solve for x
    x = 96,665,840.04/9,538.75
  6. Step 6: Final answer
    x = 10,134.02

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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.