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Finding the Fourth Proportional to 9,801.09, 14,693.40 and 3,961.80

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Solution

The fourth proportional to 9,801.09, 14,693.40 and 3,961.80 is: 5,939.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,801.09 : 14,693.40 = 3,961.80 : x
  2. Step 2: Convert to fraction form
    9,801.09/14,693.40 = 3,961.80/x
  3. Step 3: Cross multiply
    9,801.09x = 14,693.40 × 3,961.80
  4. Step 4: Simplify right side
    9,801.09x = 58,212,312.12
  5. Step 5: Solve for x
    x = 58,212,312.12/9,801.09
  6. Step 6: Final answer
    x = 5,939.37

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