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Finding the Fourth Proportional to 9,606, 14,409.12 and 3,450

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Solution

The fourth proportional to 9,606, 14,409.12 and 3,450 is: 5,175.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,606 : 14,409.12 = 3,450 : x
  2. Step 2: Convert to fraction form
    9,606/14,409.12 = 3,450/x
  3. Step 3: Cross multiply
    9,606x = 14,409.12 × 3,450
  4. Step 4: Simplify right side
    9,606x = 49,711,464
  5. Step 5: Solve for x
    x = 49,711,464/9,606
  6. Step 6: Final answer
    x = 5,175.04

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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.