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Finding the Fourth Proportional to 6,682.32, 9,221.46 and 3,698.28

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Solution

The fourth proportional to 6,682.32, 9,221.46 and 3,698.28 is: 5,103.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,682.32 : 9,221.46 = 3,698.28 : x
  2. Step 2: Convert to fraction form
    6,682.32/9,221.46 = 3,698.28/x
  3. Step 3: Cross multiply
    6,682.32x = 9,221.46 × 3,698.28
  4. Step 4: Simplify right side
    6,682.32x = 34,103,541.09
  5. Step 5: Solve for x
    x = 34,103,541.09/6,682.32
  6. Step 6: Final answer
    x = 5,103.55

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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.