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Finding the Fourth Proportional to 6,728.60, 9,286.35 and 4,076.06

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Solution

The fourth proportional to 6,728.60, 9,286.35 and 4,076.06 is: 5,625.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,728.60 : 9,286.35 = 4,076.06 : x
  2. Step 2: Convert to fraction form
    6,728.60/9,286.35 = 4,076.06/x
  3. Step 3: Cross multiply
    6,728.60x = 9,286.35 × 4,076.06
  4. Step 4: Simplify right side
    6,728.60x = 37,851,658.06
  5. Step 5: Solve for x
    x = 37,851,658.06/6,728.60
  6. Step 6: Final answer
    x = 5,625.49

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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.