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Finding the Fourth Proportional to 6,422.63, 9,633.94 and 1,805.63

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Solution

The fourth proportional to 6,422.63, 9,633.94 and 1,805.63 is: 2,708.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,422.63 : 9,633.94 = 1,805.63 : x
  2. Step 2: Convert to fraction form
    6,422.63/9,633.94 = 1,805.63/x
  3. Step 3: Cross multiply
    6,422.63x = 9,633.94 × 1,805.63
  4. Step 4: Simplify right side
    6,422.63x = 17,395,278.40
  5. Step 5: Solve for x
    x = 17,395,278.40/6,422.63
  6. Step 6: Final answer
    x = 2,708.44

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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.