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Finding the Fourth Proportional to 9,352.26, 12,908.16 and 7,777.62

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Solution

The fourth proportional to 9,352.26, 12,908.16 and 7,777.62 is: 10,734.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,352.26 : 12,908.16 = 7,777.62 : x
  2. Step 2: Convert to fraction form
    9,352.26/12,908.16 = 7,777.62/x
  3. Step 3: Cross multiply
    9,352.26x = 12,908.16 × 7,777.62
  4. Step 4: Simplify right side
    9,352.26x = 100,394,763.38
  5. Step 5: Solve for x
    x = 100,394,763.38/9,352.26
  6. Step 6: Final answer
    x = 10,734.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.