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Finding the Fourth Proportional to 9,205.11, 12,703.32 and 5,226.39

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Solution

The fourth proportional to 9,205.11, 12,703.32 and 5,226.39 is: 7,212.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,205.11 : 12,703.32 = 5,226.39 : x
  2. Step 2: Convert to fraction form
    9,205.11/12,703.32 = 5,226.39/x
  3. Step 3: Cross multiply
    9,205.11x = 12,703.32 × 5,226.39
  4. Step 4: Simplify right side
    9,205.11x = 66,392,504.61
  5. Step 5: Solve for x
    x = 66,392,504.61/9,205.11
  6. Step 6: Final answer
    x = 7,212.57

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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.