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Finding the Fourth Proportional to 9,274.86, 13,910.27 and 3,427.20

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Solution

The fourth proportional to 9,274.86, 13,910.27 and 3,427.20 is: 5,140.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,274.86 : 13,910.27 = 3,427.20 : x
  2. Step 2: Convert to fraction form
    9,274.86/13,910.27 = 3,427.20/x
  3. Step 3: Cross multiply
    9,274.86x = 13,910.27 × 3,427.20
  4. Step 4: Simplify right side
    9,274.86x = 47,673,260.21
  5. Step 5: Solve for x
    x = 47,673,260.21/9,274.86
  6. Step 6: Final answer
    x = 5,140.05

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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.