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Finding the Fourth Proportional to 9,517.08, 14,282.08 and 3,361.08

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Solution

The fourth proportional to 9,517.08, 14,282.08 and 3,361.08 is: 5,043.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,517.08 : 14,282.08 = 3,361.08 : x
  2. Step 2: Convert to fraction form
    9,517.08/14,282.08 = 3,361.08/x
  3. Step 3: Cross multiply
    9,517.08x = 14,282.08 × 3,361.08
  4. Step 4: Simplify right side
    9,517.08x = 48,003,213.45
  5. Step 5: Solve for x
    x = 48,003,213.45/9,517.08
  6. Step 6: Final answer
    x = 5,043.90

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Why These Related Problems?

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