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Finding the Fourth Proportional to 6,382.73, 8,805.09 and 4,114.93

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Solution

The fourth proportional to 6,382.73, 8,805.09 and 4,114.93 is: 5,676.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,382.73 : 8,805.09 = 4,114.93 : x
  2. Step 2: Convert to fraction form
    6,382.73/8,805.09 = 4,114.93/x
  3. Step 3: Cross multiply
    6,382.73x = 8,805.09 × 4,114.93
  4. Step 4: Simplify right side
    6,382.73x = 36,232,328.99
  5. Step 5: Solve for x
    x = 36,232,328.99/6,382.73
  6. Step 6: Final answer
    x = 5,676.62

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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.