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Finding the Fourth Proportional to 9,196.50, 13,761.93 and 7,968.12

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Solution

The fourth proportional to 9,196.50, 13,761.93 and 7,968.12 is: 11,923.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,196.50 : 13,761.93 = 7,968.12 : x
  2. Step 2: Convert to fraction form
    9,196.50/13,761.93 = 7,968.12/x
  3. Step 3: Cross multiply
    9,196.50x = 13,761.93 × 7,968.12
  4. Step 4: Simplify right side
    9,196.50x = 109,656,709.67
  5. Step 5: Solve for x
    x = 109,656,709.67/9,196.50
  6. Step 6: Final answer
    x = 11,923.74

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Why These Related Problems?

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