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Finding the Fourth Proportional to 9,076.49, 13,617.16 and 8,208.98

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Solution

The fourth proportional to 9,076.49, 13,617.16 and 8,208.98 is: 12,315.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,076.49 : 13,617.16 = 8,208.98 : x
  2. Step 2: Convert to fraction form
    9,076.49/13,617.16 = 8,208.98/x
  3. Step 3: Cross multiply
    9,076.49x = 13,617.16 × 8,208.98
  4. Step 4: Simplify right side
    9,076.49x = 111,782,884.97
  5. Step 5: Solve for x
    x = 111,782,884.97/9,076.49
  6. Step 6: Final answer
    x = 12,315.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.