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Finding the Fourth Proportional to 8,964.86, 13,447.16 and 4,031.00

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Solution

The fourth proportional to 8,964.86, 13,447.16 and 4,031.00 is: 6,046.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,964.86 : 13,447.16 = 4,031.00 : x
  2. Step 2: Convert to fraction form
    8,964.86/13,447.16 = 4,031.00/x
  3. Step 3: Cross multiply
    8,964.86x = 13,447.16 × 4,031.00
  4. Step 4: Simplify right side
    8,964.86x = 54,205,480.11
  5. Step 5: Solve for x
    x = 54,205,480.11/8,964.86
  6. Step 6: Final answer
    x = 6,046.44

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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.