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Finding the Fourth Proportional to 9,734.26, 13,438.45 and 7,799.03

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Solution

The fourth proportional to 9,734.26, 13,438.45 and 7,799.03 is: 10,766.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,734.26 : 13,438.45 = 7,799.03 : x
  2. Step 2: Convert to fraction form
    9,734.26/13,438.45 = 7,799.03/x
  3. Step 3: Cross multiply
    9,734.26x = 13,438.45 × 7,799.03
  4. Step 4: Simplify right side
    9,734.26x = 104,806,852.72
  5. Step 5: Solve for x
    x = 104,806,852.72/9,734.26
  6. Step 6: Final answer
    x = 10,766.80

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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.