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Finding the Fourth Proportional to 6,443.42, 8,889.26 and 4,204.49

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Solution

The fourth proportional to 6,443.42, 8,889.26 and 4,204.49 is: 5,800.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,443.42 : 8,889.26 = 4,204.49 : x
  2. Step 2: Convert to fraction form
    6,443.42/8,889.26 = 4,204.49/x
  3. Step 3: Cross multiply
    6,443.42x = 8,889.26 × 4,204.49
  4. Step 4: Simplify right side
    6,443.42x = 37,374,739.31
  5. Step 5: Solve for x
    x = 37,374,739.31/6,443.42
  6. Step 6: Final answer
    x = 5,800.46

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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.