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Finding the Fourth Proportional to 7,212.88, 9,954.66 and 4,069

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Solution

The fourth proportional to 7,212.88, 9,954.66 and 4,069 is: 5,615.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,212.88 : 9,954.66 = 4,069 : x
  2. Step 2: Convert to fraction form
    7,212.88/9,954.66 = 4,069/x
  3. Step 3: Cross multiply
    7,212.88x = 9,954.66 × 4,069
  4. Step 4: Simplify right side
    7,212.88x = 40,505,511.54
  5. Step 5: Solve for x
    x = 40,505,511.54/7,212.88
  6. Step 6: Final answer
    x = 5,615.72

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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.