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Finding the Fourth Proportional to 9,941.70, 13,735.26 and 9,154.38

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Solution

The fourth proportional to 9,941.70, 13,735.26 and 9,154.38 is: 12,647.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,941.70 : 13,735.26 = 9,154.38 : x
  2. Step 2: Convert to fraction form
    9,941.70/13,735.26 = 9,154.38/x
  3. Step 3: Cross multiply
    9,941.70x = 13,735.26 × 9,154.38
  4. Step 4: Simplify right side
    9,941.70x = 125,737,789.44
  5. Step 5: Solve for x
    x = 125,737,789.44/9,941.70
  6. Step 6: Final answer
    x = 12,647.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.