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Finding the Fourth Proportional to 7,961.40, 11,943.54 and 6,493.63

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Solution

The fourth proportional to 7,961.40, 11,943.54 and 6,493.63 is: 9,741.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,961.40 : 11,943.54 = 6,493.63 : x
  2. Step 2: Convert to fraction form
    7,961.40/11,943.54 = 6,493.63/x
  3. Step 3: Cross multiply
    7,961.40x = 11,943.54 × 6,493.63
  4. Step 4: Simplify right side
    7,961.40x = 77,556,974.04
  5. Step 5: Solve for x
    x = 77,556,974.04/7,961.40
  6. Step 6: Final answer
    x = 9,741.63

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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.