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Finding the Fourth Proportional to 9,353.38, 12,907.93 and 5,161.90

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Solution

The fourth proportional to 9,353.38, 12,907.93 and 5,161.90 is: 7,123.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,353.38 : 12,907.93 = 5,161.90 : x
  2. Step 2: Convert to fraction form
    9,353.38/12,907.93 = 5,161.90/x
  3. Step 3: Cross multiply
    9,353.38x = 12,907.93 × 5,161.90
  4. Step 4: Simplify right side
    9,353.38x = 66,629,443.87
  5. Step 5: Solve for x
    x = 66,629,443.87/9,353.38
  6. Step 6: Final answer
    x = 7,123.57

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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.