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Finding the Fourth Proportional to 6,313.10, 9,458.40 and 3,846.64

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Solution

The fourth proportional to 6,313.10, 9,458.40 and 3,846.64 is: 5,763.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,313.10 : 9,458.40 = 3,846.64 : x
  2. Step 2: Convert to fraction form
    6,313.10/9,458.40 = 3,846.64/x
  3. Step 3: Cross multiply
    6,313.10x = 9,458.40 × 3,846.64
  4. Step 4: Simplify right side
    6,313.10x = 36,383,059.78
  5. Step 5: Solve for x
    x = 36,383,059.78/6,313.10
  6. Step 6: Final answer
    x = 5,763.11

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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.