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Finding the Fourth Proportional to 6,435.44, 9,643.04 and 3,836.96

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Solution

The fourth proportional to 6,435.44, 9,643.04 and 3,836.96 is: 5,749.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,435.44 : 9,643.04 = 3,836.96 : x
  2. Step 2: Convert to fraction form
    6,435.44/9,643.04 = 3,836.96/x
  3. Step 3: Cross multiply
    6,435.44x = 9,643.04 × 3,836.96
  4. Step 4: Simplify right side
    6,435.44x = 36,999,958.76
  5. Step 5: Solve for x
    x = 36,999,958.76/6,435.44
  6. Step 6: Final answer
    x = 5,749.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.