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Finding the Fourth Proportional to 9,212.82, 12,713.71 and 5,235.22

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Solution

The fourth proportional to 9,212.82, 12,713.71 and 5,235.22 is: 7,224.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,212.82 : 12,713.71 = 5,235.22 : x
  2. Step 2: Convert to fraction form
    9,212.82/12,713.71 = 5,235.22/x
  3. Step 3: Cross multiply
    9,212.82x = 12,713.71 × 5,235.22
  4. Step 4: Simplify right side
    9,212.82x = 66,559,023.99
  5. Step 5: Solve for x
    x = 66,559,023.99/9,212.82
  6. Step 6: Final answer
    x = 7,224.61

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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.