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Finding the Fourth Proportional to 6,403.12, 9,609.04 and 3,930.39

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Solution

The fourth proportional to 6,403.12, 9,609.04 and 3,930.39 is: 5,898.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,403.12 : 9,609.04 = 3,930.39 : x
  2. Step 2: Convert to fraction form
    6,403.12/9,609.04 = 3,930.39/x
  3. Step 3: Cross multiply
    6,403.12x = 9,609.04 × 3,930.39
  4. Step 4: Simplify right side
    6,403.12x = 37,767,274.73
  5. Step 5: Solve for x
    x = 37,767,274.73/6,403.12
  6. Step 6: Final answer
    x = 5,898.26

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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.