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Finding the Fourth Proportional to 9,274.90, 13,914.18 and 3,431.56

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Solution

The fourth proportional to 9,274.90, 13,914.18 and 3,431.56 is: 5,148.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,274.90 : 13,914.18 = 3,431.56 : x
  2. Step 2: Convert to fraction form
    9,274.90/13,914.18 = 3,431.56/x
  3. Step 3: Cross multiply
    9,274.90x = 13,914.18 × 3,431.56
  4. Step 4: Simplify right side
    9,274.90x = 47,747,326.36
  5. Step 5: Solve for x
    x = 47,747,326.36/9,274.90
  6. Step 6: Final answer
    x = 5,148.02

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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.