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Finding the Fourth Proportional to 8,943.50, 13,415.09 and 3,100.02

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Solution

The fourth proportional to 8,943.50, 13,415.09 and 3,100.02 is: 4,649.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,943.50 : 13,415.09 = 3,100.02 : x
  2. Step 2: Convert to fraction form
    8,943.50/13,415.09 = 3,100.02/x
  3. Step 3: Cross multiply
    8,943.50x = 13,415.09 × 3,100.02
  4. Step 4: Simplify right side
    8,943.50x = 41,587,031.80
  5. Step 5: Solve for x
    x = 41,587,031.80/8,943.50
  6. Step 6: Final answer
    x = 4,649.98

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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.