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Finding the Fourth Proportional to 6,309.44, 8,706.92 and 3,477.08

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Solution

The fourth proportional to 6,309.44, 8,706.92 and 3,477.08 is: 4,798.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,309.44 : 8,706.92 = 3,477.08 : x
  2. Step 2: Convert to fraction form
    6,309.44/8,706.92 = 3,477.08/x
  3. Step 3: Cross multiply
    6,309.44x = 8,706.92 × 3,477.08
  4. Step 4: Simplify right side
    6,309.44x = 30,274,640.01
  5. Step 5: Solve for x
    x = 30,274,640.01/6,309.44
  6. Step 6: Final answer
    x = 4,798.31

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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.