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Finding the Fourth Proportional to 9,168.49, 13,744.49 and 3,321

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Solution

The fourth proportional to 9,168.49, 13,744.49 and 3,321 is: 4,978.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,168.49 : 13,744.49 = 3,321 : x
  2. Step 2: Convert to fraction form
    9,168.49/13,744.49 = 3,321/x
  3. Step 3: Cross multiply
    9,168.49x = 13,744.49 × 3,321
  4. Step 4: Simplify right side
    9,168.49x = 45,645,434.69
  5. Step 5: Solve for x
    x = 45,645,434.69/9,168.49
  6. Step 6: Final answer
    x = 4,978.51

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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.