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Finding the Fourth Proportional to 8,414.22, 11,607.21 and 6,421.31

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Solution

The fourth proportional to 8,414.22, 11,607.21 and 6,421.31 is: 8,858.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,414.22 : 11,607.21 = 6,421.31 : x
  2. Step 2: Convert to fraction form
    8,414.22/11,607.21 = 6,421.31/x
  3. Step 3: Cross multiply
    8,414.22x = 11,607.21 × 6,421.31
  4. Step 4: Simplify right side
    8,414.22x = 74,533,493.65
  5. Step 5: Solve for x
    x = 74,533,493.65/8,414.22
  6. Step 6: Final answer
    x = 8,858.04

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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.