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Finding the Fourth Proportional to 6,376.47, 9,550.83 and 3,082.63

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Solution

The fourth proportional to 6,376.47, 9,550.83 and 3,082.63 is: 4,617.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,376.47 : 9,550.83 = 3,082.63 : x
  2. Step 2: Convert to fraction form
    6,376.47/9,550.83 = 3,082.63/x
  3. Step 3: Cross multiply
    6,376.47x = 9,550.83 × 3,082.63
  4. Step 4: Simplify right side
    6,376.47x = 29,441,675.08
  5. Step 5: Solve for x
    x = 29,441,675.08/6,376.47
  6. Step 6: Final answer
    x = 4,617.24

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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.