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Finding the Fourth Proportional to 9,117.44, 13,676.22 and 3,274.10

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Solution

The fourth proportional to 9,117.44, 13,676.22 and 3,274.10 is: 4,911.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,117.44 : 13,676.22 = 3,274.10 : x
  2. Step 2: Convert to fraction form
    9,117.44/13,676.22 = 3,274.10/x
  3. Step 3: Cross multiply
    9,117.44x = 13,676.22 × 3,274.10
  4. Step 4: Simplify right side
    9,117.44x = 44,777,311.90
  5. Step 5: Solve for x
    x = 44,777,311.90/9,117.44
  6. Step 6: Final answer
    x = 4,911.17

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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.