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Finding the Fourth Proportional to 9,202.82, 12,699.52 and 5,223.89

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Solution

The fourth proportional to 9,202.82, 12,699.52 and 5,223.89 is: 7,208.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,202.82 : 12,699.52 = 5,223.89 : x
  2. Step 2: Convert to fraction form
    9,202.82/12,699.52 = 5,223.89/x
  3. Step 3: Cross multiply
    9,202.82x = 12,699.52 × 5,223.89
  4. Step 4: Simplify right side
    9,202.82x = 66,340,914.22
  5. Step 5: Solve for x
    x = 66,340,914.22/9,202.82
  6. Step 6: Final answer
    x = 7,208.76

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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.