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Finding the Fourth Proportional to 9,596, 14,395.44 and 3,441.44

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Solution

The fourth proportional to 9,596, 14,395.44 and 3,441.44 is: 5,162.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,596 : 14,395.44 = 3,441.44 : x
  2. Step 2: Convert to fraction form
    9,596/14,395.44 = 3,441.44/x
  3. Step 3: Cross multiply
    9,596x = 14,395.44 × 3,441.44
  4. Step 4: Simplify right side
    9,596x = 49,541,043.03
  5. Step 5: Solve for x
    x = 49,541,043.03/9,596
  6. Step 6: Final answer
    x = 5,162.68

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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.