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Finding the Fourth Proportional to 9,652.50, 14,480.91 and 3,412.44

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Solution

The fourth proportional to 9,652.50, 14,480.91 and 3,412.44 is: 5,119.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,652.50 : 14,480.91 = 3,412.44 : x
  2. Step 2: Convert to fraction form
    9,652.50/14,480.91 = 3,412.44/x
  3. Step 3: Cross multiply
    9,652.50x = 14,480.91 × 3,412.44
  4. Step 4: Simplify right side
    9,652.50x = 49,415,236.52
  5. Step 5: Solve for x
    x = 49,415,236.52/9,652.50
  6. Step 6: Final answer
    x = 5,119.42

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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.