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Finding the Fourth Proportional to 9,837.25, 14,745.19 and 4,843.06

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Solution

The fourth proportional to 9,837.25, 14,745.19 and 4,843.06 is: 7,259.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,837.25 : 14,745.19 = 4,843.06 : x
  2. Step 2: Convert to fraction form
    9,837.25/14,745.19 = 4,843.06/x
  3. Step 3: Cross multiply
    9,837.25x = 14,745.19 × 4,843.06
  4. Step 4: Simplify right side
    9,837.25x = 71,411,839.88
  5. Step 5: Solve for x
    x = 71,411,839.88/9,837.25
  6. Step 6: Final answer
    x = 7,259.33

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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.