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Finding the Fourth Proportional to 10,643.10, 14,679.83 and 9,224.28

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Solution

The fourth proportional to 10,643.10, 14,679.83 and 9,224.28 is: 12,722.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,643.10 : 14,679.83 = 9,224.28 : x
  2. Step 2: Convert to fraction form
    10,643.10/14,679.83 = 9,224.28/x
  3. Step 3: Cross multiply
    10,643.10x = 14,679.83 × 9,224.28
  4. Step 4: Simplify right side
    10,643.10x = 135,410,885.33
  5. Step 5: Solve for x
    x = 135,410,885.33/10,643.10
  6. Step 6: Final answer
    x = 12,722.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.