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Finding the Fourth Proportional to 9,826.56, 14,741.44 and 3,983.68

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Solution

The fourth proportional to 9,826.56, 14,741.44 and 3,983.68 is: 5,976.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,826.56 : 14,741.44 = 3,983.68 : x
  2. Step 2: Convert to fraction form
    9,826.56/14,741.44 = 3,983.68/x
  3. Step 3: Cross multiply
    9,826.56x = 14,741.44 × 3,983.68
  4. Step 4: Simplify right side
    9,826.56x = 58,725,179.70
  5. Step 5: Solve for x
    x = 58,725,179.70/9,826.56
  6. Step 6: Final answer
    x = 5,976.17

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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.