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Finding the Fourth Proportional to 9,596.69, 14,396.42 and 3,023.41

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Solution

The fourth proportional to 9,596.69, 14,396.42 and 3,023.41 is: 4,535.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,596.69 : 14,396.42 = 3,023.41 : x
  2. Step 2: Convert to fraction form
    9,596.69/14,396.42 = 3,023.41/x
  3. Step 3: Cross multiply
    9,596.69x = 14,396.42 × 3,023.41
  4. Step 4: Simplify right side
    9,596.69x = 43,526,251.76
  5. Step 5: Solve for x
    x = 43,526,251.76/9,596.69
  6. Step 6: Final answer
    x = 4,535.55

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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.