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Finding the Fourth Proportional to 9,117.54, 13,676.98 and 3,274.20

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Solution

The fourth proportional to 9,117.54, 13,676.98 and 3,274.20 is: 4,911.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,117.54 : 13,676.98 = 3,274.20 : x
  2. Step 2: Convert to fraction form
    9,117.54/13,676.98 = 3,274.20/x
  3. Step 3: Cross multiply
    9,117.54x = 13,676.98 × 3,274.20
  4. Step 4: Simplify right side
    9,117.54x = 44,781,167.92
  5. Step 5: Solve for x
    x = 44,781,167.92/9,117.54
  6. Step 6: Final answer
    x = 4,911.54

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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.