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Finding the Fourth Proportional to 9,745.29, 14,617.56 and 2,725.29

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Solution

The fourth proportional to 9,745.29, 14,617.56 and 2,725.29 is: 4,087.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,745.29 : 14,617.56 = 2,725.29 : x
  2. Step 2: Convert to fraction form
    9,745.29/14,617.56 = 2,725.29/x
  3. Step 3: Cross multiply
    9,745.29x = 14,617.56 × 2,725.29
  4. Step 4: Simplify right side
    9,745.29x = 39,837,090.09
  5. Step 5: Solve for x
    x = 39,837,090.09/9,745.29
  6. Step 6: Final answer
    x = 4,087.83

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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.