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Finding the Fourth Proportional to 9,628.06, 13,294.23 and 7,538.14

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Solution

The fourth proportional to 9,628.06, 13,294.23 and 7,538.14 is: 10,408.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,628.06 : 13,294.23 = 7,538.14 : x
  2. Step 2: Convert to fraction form
    9,628.06/13,294.23 = 7,538.14/x
  3. Step 3: Cross multiply
    9,628.06x = 13,294.23 × 7,538.14
  4. Step 4: Simplify right side
    9,628.06x = 100,213,766.93
  5. Step 5: Solve for x
    x = 100,213,766.93/9,628.06
  6. Step 6: Final answer
    x = 10,408.51

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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.