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Finding the Fourth Proportional to 6,477.95, 8,939.86 and 3,825.37

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Solution

The fourth proportional to 6,477.95, 8,939.86 and 3,825.37 is: 5,279.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,477.95 : 8,939.86 = 3,825.37 : x
  2. Step 2: Convert to fraction form
    6,477.95/8,939.86 = 3,825.37/x
  3. Step 3: Cross multiply
    6,477.95x = 8,939.86 × 3,825.37
  4. Step 4: Simplify right side
    6,477.95x = 34,198,240.34
  5. Step 5: Solve for x
    x = 34,198,240.34/6,477.95
  6. Step 6: Final answer
    x = 5,279.17

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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.