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Finding the Fourth Proportional to 6,313.65, 8,713.62 and 3,797.08

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Solution

The fourth proportional to 6,313.65, 8,713.62 and 3,797.08 is: 5,240.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,313.65 : 8,713.62 = 3,797.08 : x
  2. Step 2: Convert to fraction form
    6,313.65/8,713.62 = 3,797.08/x
  3. Step 3: Cross multiply
    6,313.65x = 8,713.62 × 3,797.08
  4. Step 4: Simplify right side
    6,313.65x = 33,086,312.23
  5. Step 5: Solve for x
    x = 33,086,312.23/6,313.65
  6. Step 6: Final answer
    x = 5,240.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.