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Finding the Fourth Proportional to 6,428.57, 9,630.19 and 4,230.63

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Solution

The fourth proportional to 6,428.57, 9,630.19 and 4,230.63 is: 6,337.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,428.57 : 9,630.19 = 4,230.63 : x
  2. Step 2: Convert to fraction form
    6,428.57/9,630.19 = 4,230.63/x
  3. Step 3: Cross multiply
    6,428.57x = 9,630.19 × 4,230.63
  4. Step 4: Simplify right side
    6,428.57x = 40,741,776.01
  5. Step 5: Solve for x
    x = 40,741,776.01/6,428.57
  6. Step 6: Final answer
    x = 6,337.62

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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.