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Finding the Fourth Proportional to 9,516.54, 14,274.54 and 3,674.42

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Solution

The fourth proportional to 9,516.54, 14,274.54 and 3,674.42 is: 5,511.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,516.54 : 14,274.54 = 3,674.42 : x
  2. Step 2: Convert to fraction form
    9,516.54/14,274.54 = 3,674.42/x
  3. Step 3: Cross multiply
    9,516.54x = 14,274.54 × 3,674.42
  4. Step 4: Simplify right side
    9,516.54x = 52,450,655.27
  5. Step 5: Solve for x
    x = 52,450,655.27/9,516.54
  6. Step 6: Final answer
    x = 5,511.53

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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.