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Finding the Fourth Proportional to 8,965.15, 13,447.60 and 4,031.30

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Solution

The fourth proportional to 8,965.15, 13,447.60 and 4,031.30 is: 6,046.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,965.15 : 13,447.60 = 4,031.30 : x
  2. Step 2: Convert to fraction form
    8,965.15/13,447.60 = 4,031.30/x
  3. Step 3: Cross multiply
    8,965.15x = 13,447.60 × 4,031.30
  4. Step 4: Simplify right side
    8,965.15x = 54,211,309.88
  5. Step 5: Solve for x
    x = 54,211,309.88/8,965.15
  6. Step 6: Final answer
    x = 6,046.90

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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.