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Finding the Fourth Proportional to 6,422.34, 9,633.41 and 2,039.74

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Solution

The fourth proportional to 6,422.34, 9,633.41 and 2,039.74 is: 3,059.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,422.34 : 9,633.41 = 2,039.74 : x
  2. Step 2: Convert to fraction form
    6,422.34/9,633.41 = 2,039.74/x
  3. Step 3: Cross multiply
    6,422.34x = 9,633.41 × 2,039.74
  4. Step 4: Simplify right side
    6,422.34x = 19,649,651.71
  5. Step 5: Solve for x
    x = 19,649,651.71/6,422.34
  6. Step 6: Final answer
    x = 3,059.58

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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.