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Finding the Fourth Proportional to 9,961.40, 14,951.32 and 5,034.49

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Solution

The fourth proportional to 9,961.40, 14,951.32 and 5,034.49 is: 7,556.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,961.40 : 14,951.32 = 5,034.49 : x
  2. Step 2: Convert to fraction form
    9,961.40/14,951.32 = 5,034.49/x
  3. Step 3: Cross multiply
    9,961.40x = 14,951.32 × 5,034.49
  4. Step 4: Simplify right side
    9,961.40x = 75,272,221.06
  5. Step 5: Solve for x
    x = 75,272,221.06/9,961.40
  6. Step 6: Final answer
    x = 7,556.39

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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.