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Finding the Fourth Proportional to 9,195, 13,795.22 and 5,302.20

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Solution

The fourth proportional to 9,195, 13,795.22 and 5,302.20 is: 7,954.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,195 : 13,795.22 = 5,302.20 : x
  2. Step 2: Convert to fraction form
    9,195/13,795.22 = 5,302.20/x
  3. Step 3: Cross multiply
    9,195x = 13,795.22 × 5,302.20
  4. Step 4: Simplify right side
    9,195x = 73,145,015.48
  5. Step 5: Solve for x
    x = 73,145,015.48/9,195
  6. Step 6: Final answer
    x = 7,954.87

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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.