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Finding the Fourth Proportional to 6,313.19, 9,469.41 and 1,930.29

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Solution

The fourth proportional to 6,313.19, 9,469.41 and 1,930.29 is: 2,895.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,313.19 : 9,469.41 = 1,930.29 : x
  2. Step 2: Convert to fraction form
    6,313.19/9,469.41 = 1,930.29/x
  3. Step 3: Cross multiply
    6,313.19x = 9,469.41 × 1,930.29
  4. Step 4: Simplify right side
    6,313.19x = 18,278,707.43
  5. Step 5: Solve for x
    x = 18,278,707.43/6,313.19
  6. Step 6: Final answer
    x = 2,895.32

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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.