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Finding the Fourth Proportional to 6,866.63, 9,475.92 and 3,722.82

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Solution

The fourth proportional to 6,866.63, 9,475.92 and 3,722.82 is: 5,137.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,866.63 : 9,475.92 = 3,722.82 : x
  2. Step 2: Convert to fraction form
    6,866.63/9,475.92 = 3,722.82/x
  3. Step 3: Cross multiply
    6,866.63x = 9,475.92 × 3,722.82
  4. Step 4: Simplify right side
    6,866.63x = 35,277,144.49
  5. Step 5: Solve for x
    x = 35,277,144.49/6,866.63
  6. Step 6: Final answer
    x = 5,137.48

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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.