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Finding the Fourth Proportional to 9,596.85, 14,394.33 and 3,355.71

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Solution

The fourth proportional to 9,596.85, 14,394.33 and 3,355.71 is: 5,033.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,596.85 : 14,394.33 = 3,355.71 : x
  2. Step 2: Convert to fraction form
    9,596.85/14,394.33 = 3,355.71/x
  3. Step 3: Cross multiply
    9,596.85x = 14,394.33 × 3,355.71
  4. Step 4: Simplify right side
    9,596.85x = 48,303,197.12
  5. Step 5: Solve for x
    x = 48,303,197.12/9,596.85
  6. Step 6: Final answer
    x = 5,033.23

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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.