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Finding the Fourth Proportional to 6,441.39, 8,892.72 and 4,427.73

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Solution

The fourth proportional to 6,441.39, 8,892.72 and 4,427.73 is: 6,112.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,441.39 : 8,892.72 = 4,427.73 : x
  2. Step 2: Convert to fraction form
    6,441.39/8,892.72 = 4,427.73/x
  3. Step 3: Cross multiply
    6,441.39x = 8,892.72 × 4,427.73
  4. Step 4: Simplify right side
    6,441.39x = 39,374,563.13
  5. Step 5: Solve for x
    x = 39,374,563.13/6,441.39
  6. Step 6: Final answer
    x = 6,112.74

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Why These Related Problems?

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