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Finding the Fourth Proportional to 9,205.16, 12,703.11 and 5,226.44

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Solution

The fourth proportional to 9,205.16, 12,703.11 and 5,226.44 is: 7,212.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,205.16 : 12,703.11 = 5,226.44 : x
  2. Step 2: Convert to fraction form
    9,205.16/12,703.11 = 5,226.44/x
  3. Step 3: Cross multiply
    9,205.16x = 12,703.11 × 5,226.44
  4. Step 4: Simplify right side
    9,205.16x = 66,392,042.23
  5. Step 5: Solve for x
    x = 66,392,042.23/9,205.16
  6. Step 6: Final answer
    x = 7,212.48

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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.