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Finding the Fourth Proportional to 9,351.22, 12,909.36 and 5,815.57

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Solution

The fourth proportional to 9,351.22, 12,909.36 and 5,815.57 is: 8,028.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,351.22 : 12,909.36 = 5,815.57 : x
  2. Step 2: Convert to fraction form
    9,351.22/12,909.36 = 5,815.57/x
  3. Step 3: Cross multiply
    9,351.22x = 12,909.36 × 5,815.57
  4. Step 4: Simplify right side
    9,351.22x = 75,075,286.74
  5. Step 5: Solve for x
    x = 75,075,286.74/9,351.22
  6. Step 6: Final answer
    x = 8,028.39

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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.