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Finding the Fourth Proportional to 8,965.36, 13,447.91 and 4,031.50

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Solution

The fourth proportional to 8,965.36, 13,447.91 and 4,031.50 is: 6,047.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,965.36 : 13,447.91 = 4,031.50 : x
  2. Step 2: Convert to fraction form
    8,965.36/13,447.91 = 4,031.50/x
  3. Step 3: Cross multiply
    8,965.36x = 13,447.91 × 4,031.50
  4. Step 4: Simplify right side
    8,965.36x = 54,215,249.17
  5. Step 5: Solve for x
    x = 54,215,249.17/8,965.36
  6. Step 6: Final answer
    x = 6,047.19

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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.