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Finding the Fourth Proportional to 9,971.88, 14,961.02 and 3,402.12

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Solution

The fourth proportional to 9,971.88, 14,961.02 and 3,402.12 is: 5,104.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,971.88 : 14,961.02 = 3,402.12 : x
  2. Step 2: Convert to fraction form
    9,971.88/14,961.02 = 3,402.12/x
  3. Step 3: Cross multiply
    9,971.88x = 14,961.02 × 3,402.12
  4. Step 4: Simplify right side
    9,971.88x = 50,899,185.36
  5. Step 5: Solve for x
    x = 50,899,185.36/9,971.88
  6. Step 6: Final answer
    x = 5,104.27

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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.