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Finding the Fourth Proportional to 9,224.36, 13,843.91 and 4,783.29

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Solution

The fourth proportional to 9,224.36, 13,843.91 and 4,783.29 is: 7,178.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,224.36 : 13,843.91 = 4,783.29 : x
  2. Step 2: Convert to fraction form
    9,224.36/13,843.91 = 4,783.29/x
  3. Step 3: Cross multiply
    9,224.36x = 13,843.91 × 4,783.29
  4. Step 4: Simplify right side
    9,224.36x = 66,219,396.31
  5. Step 5: Solve for x
    x = 66,219,396.31/9,224.36
  6. Step 6: Final answer
    x = 7,178.75

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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.