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Finding the Fourth Proportional to 9,117.40, 13,676.02 and 3,274.40

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Solution

The fourth proportional to 9,117.40, 13,676.02 and 3,274.40 is: 4,911.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,117.40 : 13,676.02 = 3,274.40 : x
  2. Step 2: Convert to fraction form
    9,117.40/13,676.02 = 3,274.40/x
  3. Step 3: Cross multiply
    9,117.40x = 13,676.02 × 3,274.40
  4. Step 4: Simplify right side
    9,117.40x = 44,780,759.89
  5. Step 5: Solve for x
    x = 44,780,759.89/9,117.40
  6. Step 6: Final answer
    x = 4,911.57

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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.