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Finding the Fourth Proportional to 6,428.25, 8,871.12 and 3,633.75

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Solution

The fourth proportional to 6,428.25, 8,871.12 and 3,633.75 is: 5,014.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,428.25 : 8,871.12 = 3,633.75 : x
  2. Step 2: Convert to fraction form
    6,428.25/8,871.12 = 3,633.75/x
  3. Step 3: Cross multiply
    6,428.25x = 8,871.12 × 3,633.75
  4. Step 4: Simplify right side
    6,428.25x = 32,235,432.30
  5. Step 5: Solve for x
    x = 32,235,432.30/6,428.25
  6. Step 6: Final answer
    x = 5,014.65

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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.