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Finding the Fourth Proportional to 9,902.27, 13,669.35 and 6,672.80

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Solution

The fourth proportional to 9,902.27, 13,669.35 and 6,672.80 is: 9,211.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,902.27 : 13,669.35 = 6,672.80 : x
  2. Step 2: Convert to fraction form
    9,902.27/13,669.35 = 6,672.80/x
  3. Step 3: Cross multiply
    9,902.27x = 13,669.35 × 6,672.80
  4. Step 4: Simplify right side
    9,902.27x = 91,212,838.68
  5. Step 5: Solve for x
    x = 91,212,838.68/9,902.27
  6. Step 6: Final answer
    x = 9,211.31

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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.