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Finding the Fourth Proportional to 9,596.38, 14,388.42 and 6,626.50

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Solution

The fourth proportional to 9,596.38, 14,388.42 and 6,626.50 is: 9,935.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,596.38 : 14,388.42 = 6,626.50 : x
  2. Step 2: Convert to fraction form
    9,596.38/14,388.42 = 6,626.50/x
  3. Step 3: Cross multiply
    9,596.38x = 14,388.42 × 6,626.50
  4. Step 4: Simplify right side
    9,596.38x = 95,344,865.13
  5. Step 5: Solve for x
    x = 95,344,865.13/9,596.38
  6. Step 6: Final answer
    x = 9,935.50

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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.