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Finding the Fourth Proportional to 9,208.85, 12,708.29 and 5,229.98

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Solution

The fourth proportional to 9,208.85, 12,708.29 and 5,229.98 is: 7,217.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,208.85 : 12,708.29 = 5,229.98 : x
  2. Step 2: Convert to fraction form
    9,208.85/12,708.29 = 5,229.98/x
  3. Step 3: Cross multiply
    9,208.85x = 12,708.29 × 5,229.98
  4. Step 4: Simplify right side
    9,208.85x = 66,464,171.21
  5. Step 5: Solve for x
    x = 66,464,171.21/9,208.85
  6. Step 6: Final answer
    x = 7,217.43

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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.