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Finding the Fourth Proportional to 6,682.62, 9,222.03 and 3,698.66

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Solution

The fourth proportional to 6,682.62, 9,222.03 and 3,698.66 is: 5,104.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,682.62 : 9,222.03 = 3,698.66 : x
  2. Step 2: Convert to fraction form
    6,682.62/9,222.03 = 3,698.66/x
  3. Step 3: Cross multiply
    6,682.62x = 9,222.03 × 3,698.66
  4. Step 4: Simplify right side
    6,682.62x = 34,109,153.48
  5. Step 5: Solve for x
    x = 34,109,153.48/6,682.62
  6. Step 6: Final answer
    x = 5,104.16

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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.