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Finding the Fourth Proportional to 9,865.87, 14,805.25 and 3,625.93

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Solution

The fourth proportional to 9,865.87, 14,805.25 and 3,625.93 is: 5,441.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,865.87 : 14,805.25 = 3,625.93 : x
  2. Step 2: Convert to fraction form
    9,865.87/14,805.25 = 3,625.93/x
  3. Step 3: Cross multiply
    9,865.87x = 14,805.25 × 3,625.93
  4. Step 4: Simplify right side
    9,865.87x = 53,682,809.57
  5. Step 5: Solve for x
    x = 53,682,809.57/9,865.87
  6. Step 6: Final answer
    x = 5,441.27

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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.