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Finding the Fourth Proportional to 9,596.63, 14,396.79 and 3,358.41

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Solution

The fourth proportional to 9,596.63, 14,396.79 and 3,358.41 is: 5,038.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,596.63 : 14,396.79 = 3,358.41 : x
  2. Step 2: Convert to fraction form
    9,596.63/14,396.79 = 3,358.41/x
  3. Step 3: Cross multiply
    9,596.63x = 14,396.79 × 3,358.41
  4. Step 4: Simplify right side
    9,596.63x = 48,350,344.20
  5. Step 5: Solve for x
    x = 48,350,344.20/9,596.63
  6. Step 6: Final answer
    x = 5,038.26

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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.