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Finding the Fourth Proportional to 9,196.75, 13,795.17 and 3,040.75

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Solution

The fourth proportional to 9,196.75, 13,795.17 and 3,040.75 is: 4,561.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,196.75 : 13,795.17 = 3,040.75 : x
  2. Step 2: Convert to fraction form
    9,196.75/13,795.17 = 3,040.75/x
  3. Step 3: Cross multiply
    9,196.75x = 13,795.17 × 3,040.75
  4. Step 4: Simplify right side
    9,196.75x = 41,947,663.18
  5. Step 5: Solve for x
    x = 41,947,663.18/9,196.75
  6. Step 6: Final answer
    x = 4,561.14

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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.