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Finding the Fourth Proportional to 6,422.45, 9,633.66 and 1,805.45

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Solution

The fourth proportional to 6,422.45, 9,633.66 and 1,805.45 is: 2,708.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,422.45 : 9,633.66 = 1,805.45 : x
  2. Step 2: Convert to fraction form
    6,422.45/9,633.66 = 1,805.45/x
  3. Step 3: Cross multiply
    6,422.45x = 9,633.66 × 1,805.45
  4. Step 4: Simplify right side
    6,422.45x = 17,393,043.28
  5. Step 5: Solve for x
    x = 17,393,043.28/6,422.45
  6. Step 6: Final answer
    x = 2,708.17

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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.