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Finding the Fourth Proportional to 6,427.84, 8,871.24 and 3,633.88

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Solution

The fourth proportional to 6,427.84, 8,871.24 and 3,633.88 is: 5,015.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,427.84 : 8,871.24 = 3,633.88 : x
  2. Step 2: Convert to fraction form
    6,427.84/8,871.24 = 3,633.88/x
  3. Step 3: Cross multiply
    6,427.84x = 8,871.24 × 3,633.88
  4. Step 4: Simplify right side
    6,427.84x = 32,237,021.61
  5. Step 5: Solve for x
    x = 32,237,021.61/6,427.84
  6. Step 6: Final answer
    x = 5,015.22

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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.