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Finding the Fourth Proportional to 9,696, 13,380.48 and 5,504.25

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Solution

The fourth proportional to 9,696, 13,380.48 and 5,504.25 is: 7,595.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,696 : 13,380.48 = 5,504.25 : x
  2. Step 2: Convert to fraction form
    9,696/13,380.48 = 5,504.25/x
  3. Step 3: Cross multiply
    9,696x = 13,380.48 × 5,504.25
  4. Step 4: Simplify right side
    9,696x = 73,649,507.04
  5. Step 5: Solve for x
    x = 73,649,507.04/9,696
  6. Step 6: Final answer
    x = 7,595.87

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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.