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Finding the Fourth Proportional to 9,962.50, 14,943.74 and 3,723

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Solution

The fourth proportional to 9,962.50, 14,943.74 and 3,723 is: 5,584.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,962.50 : 14,943.74 = 3,723 : x
  2. Step 2: Convert to fraction form
    9,962.50/14,943.74 = 3,723/x
  3. Step 3: Cross multiply
    9,962.50x = 14,943.74 × 3,723
  4. Step 4: Simplify right side
    9,962.50x = 55,635,544.02
  5. Step 5: Solve for x
    x = 55,635,544.02/9,962.50
  6. Step 6: Final answer
    x = 5,584.50

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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.