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Finding the Fourth Proportional to 9,843.24, 14,769 and 4,297.98

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Solution

The fourth proportional to 9,843.24, 14,769 and 4,297.98 is: 6,448.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,843.24 : 14,769 = 4,297.98 : x
  2. Step 2: Convert to fraction form
    9,843.24/14,769 = 4,297.98/x
  3. Step 3: Cross multiply
    9,843.24x = 14,769 × 4,297.98
  4. Step 4: Simplify right side
    9,843.24x = 63,476,866.62
  5. Step 5: Solve for x
    x = 63,476,866.62/9,843.24
  6. Step 6: Final answer
    x = 6,448.78

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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.