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Finding the Fourth Proportional to 9,516.92, 14,277.38 and 3,277.50

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Solution

The fourth proportional to 9,516.92, 14,277.38 and 3,277.50 is: 4,916.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,516.92 : 14,277.38 = 3,277.50 : x
  2. Step 2: Convert to fraction form
    9,516.92/14,277.38 = 3,277.50/x
  3. Step 3: Cross multiply
    9,516.92x = 14,277.38 × 3,277.50
  4. Step 4: Simplify right side
    9,516.92x = 46,794,112.95
  5. Step 5: Solve for x
    x = 46,794,112.95/9,516.92
  6. Step 6: Final answer
    x = 4,916.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.