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Finding the Fourth Proportional to 6,428.28, 9,638.25 and 4,230.33

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Solution

The fourth proportional to 6,428.28, 9,638.25 and 4,230.33 is: 6,342.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,428.28 : 9,638.25 = 4,230.33 : x
  2. Step 2: Convert to fraction form
    6,428.28/9,638.25 = 4,230.33/x
  3. Step 3: Cross multiply
    6,428.28x = 9,638.25 × 4,230.33
  4. Step 4: Simplify right side
    6,428.28x = 40,772,978.12
  5. Step 5: Solve for x
    x = 40,772,978.12/6,428.28
  6. Step 6: Final answer
    x = 6,342.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.