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Finding the Fourth Proportional to 6,961.19, 9,606.44 and 3,817.38

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Solution

The fourth proportional to 6,961.19, 9,606.44 and 3,817.38 is: 5,267.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,961.19 : 9,606.44 = 3,817.38 : x
  2. Step 2: Convert to fraction form
    6,961.19/9,606.44 = 3,817.38/x
  3. Step 3: Cross multiply
    6,961.19x = 9,606.44 × 3,817.38
  4. Step 4: Simplify right side
    6,961.19x = 36,671,431.93
  5. Step 5: Solve for x
    x = 36,671,431.93/6,961.19
  6. Step 6: Final answer
    x = 5,267.98

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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.