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Finding the Fourth Proportional to 6,286.92, 9,430.38 and 3,002.34

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Solution

The fourth proportional to 6,286.92, 9,430.38 and 3,002.34 is: 4,503.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,286.92 : 9,430.38 = 3,002.34 : x
  2. Step 2: Convert to fraction form
    6,286.92/9,430.38 = 3,002.34/x
  3. Step 3: Cross multiply
    6,286.92x = 9,430.38 × 3,002.34
  4. Step 4: Simplify right side
    6,286.92x = 28,313,207.09
  5. Step 5: Solve for x
    x = 28,313,207.09/6,286.92
  6. Step 6: Final answer
    x = 4,503.51

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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.