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Finding the Fourth Proportional to 9,202.82, 12,701.21 and 5,223.08

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Solution

The fourth proportional to 9,202.82, 12,701.21 and 5,223.08 is: 7,208.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,202.82 : 12,701.21 = 5,223.08 : x
  2. Step 2: Convert to fraction form
    9,202.82/12,701.21 = 5,223.08/x
  3. Step 3: Cross multiply
    9,202.82x = 12,701.21 × 5,223.08
  4. Step 4: Simplify right side
    9,202.82x = 66,339,441.56
  5. Step 5: Solve for x
    x = 66,339,441.56/9,202.82
  6. Step 6: Final answer
    x = 7,208.60

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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.