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Finding the Fourth Proportional to 6,729, 9,302.21 and 6,168.54

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Solution

The fourth proportional to 6,729, 9,302.21 and 6,168.54 is: 8,527.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,729 : 9,302.21 = 6,168.54 : x
  2. Step 2: Convert to fraction form
    6,729/9,302.21 = 6,168.54/x
  3. Step 3: Cross multiply
    6,729x = 9,302.21 × 6,168.54
  4. Step 4: Simplify right side
    6,729x = 57,381,054.47
  5. Step 5: Solve for x
    x = 57,381,054.47/6,729
  6. Step 6: Final answer
    x = 8,527.43

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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.