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Finding the Fourth Proportional to 6,433.44, 9,643.59 and 3,654.24

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Solution

The fourth proportional to 6,433.44, 9,643.59 and 3,654.24 is: 5,477.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,433.44 : 9,643.59 = 3,654.24 : x
  2. Step 2: Convert to fraction form
    6,433.44/9,643.59 = 3,654.24/x
  3. Step 3: Cross multiply
    6,433.44x = 9,643.59 × 3,654.24
  4. Step 4: Simplify right side
    6,433.44x = 35,239,992.32
  5. Step 5: Solve for x
    x = 35,239,992.32/6,433.44
  6. Step 6: Final answer
    x = 5,477.63

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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.