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Finding the Fourth Proportional to 9,595, 14,391.42 and 3,019.96

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Solution

The fourth proportional to 9,595, 14,391.42 and 3,019.96 is: 4,529.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,595 : 14,391.42 = 3,019.96 : x
  2. Step 2: Convert to fraction form
    9,595/14,391.42 = 3,019.96/x
  3. Step 3: Cross multiply
    9,595x = 14,391.42 × 3,019.96
  4. Step 4: Simplify right side
    9,595x = 43,461,512.74
  5. Step 5: Solve for x
    x = 43,461,512.74/9,595
  6. Step 6: Final answer
    x = 4,529.60

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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.