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Finding the Fourth Proportional to 7,097.88, 9,795.24 and 3,954

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Solution

The fourth proportional to 7,097.88, 9,795.24 and 3,954 is: 5,456.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,097.88 : 9,795.24 = 3,954 : x
  2. Step 2: Convert to fraction form
    7,097.88/9,795.24 = 3,954/x
  3. Step 3: Cross multiply
    7,097.88x = 9,795.24 × 3,954
  4. Step 4: Simplify right side
    7,097.88x = 38,730,378.96
  5. Step 5: Solve for x
    x = 38,730,378.96/7,097.88
  6. Step 6: Final answer
    x = 5,456.61

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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.