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Finding the Fourth Proportional to 6,402.89, 9,605.64 and 3,630.80

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Solution

The fourth proportional to 6,402.89, 9,605.64 and 3,630.80 is: 5,446.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,402.89 : 9,605.64 = 3,630.80 : x
  2. Step 2: Convert to fraction form
    6,402.89/9,605.64 = 3,630.80/x
  3. Step 3: Cross multiply
    6,402.89x = 9,605.64 × 3,630.80
  4. Step 4: Simplify right side
    6,402.89x = 34,876,157.71
  5. Step 5: Solve for x
    x = 34,876,157.71/6,402.89
  6. Step 6: Final answer
    x = 5,446.94

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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.