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Finding the Fourth Proportional to 9,095.94, 13,640.94 and 2,938.50

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Solution

The fourth proportional to 9,095.94, 13,640.94 and 2,938.50 is: 4,406.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,095.94 : 13,640.94 = 2,938.50 : x
  2. Step 2: Convert to fraction form
    9,095.94/13,640.94 = 2,938.50/x
  3. Step 3: Cross multiply
    9,095.94x = 13,640.94 × 2,938.50
  4. Step 4: Simplify right side
    9,095.94x = 40,083,902.19
  5. Step 5: Solve for x
    x = 40,083,902.19/9,095.94
  6. Step 6: Final answer
    x = 4,406.79

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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.