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Finding the Fourth Proportional to 9,274.25, 13,910.76 and 4,344.99

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Solution

The fourth proportional to 9,274.25, 13,910.76 and 4,344.99 is: 6,517.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,274.25 : 13,910.76 = 4,344.99 : x
  2. Step 2: Convert to fraction form
    9,274.25/13,910.76 = 4,344.99/x
  3. Step 3: Cross multiply
    9,274.25x = 13,910.76 × 4,344.99
  4. Step 4: Simplify right side
    9,274.25x = 60,442,113.09
  5. Step 5: Solve for x
    x = 60,442,113.09/9,274.25
  6. Step 6: Final answer
    x = 6,517.20

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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.