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Finding the Fourth Proportional to 8,194.41, 11,315.43 and 6,422.94

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Solution

The fourth proportional to 8,194.41, 11,315.43 and 6,422.94 is: 8,869.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,194.41 : 11,315.43 = 6,422.94 : x
  2. Step 2: Convert to fraction form
    8,194.41/11,315.43 = 6,422.94/x
  3. Step 3: Cross multiply
    8,194.41x = 11,315.43 × 6,422.94
  4. Step 4: Simplify right side
    8,194.41x = 72,678,327.96
  5. Step 5: Solve for x
    x = 72,678,327.96/8,194.41
  6. Step 6: Final answer
    x = 8,869.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.