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Finding the Fourth Proportional to 9,415.91, 12,994.09 and 5,167.39

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Solution

The fourth proportional to 9,415.91, 12,994.09 and 5,167.39 is: 7,131.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,415.91 : 12,994.09 = 5,167.39 : x
  2. Step 2: Convert to fraction form
    9,415.91/12,994.09 = 5,167.39/x
  3. Step 3: Cross multiply
    9,415.91x = 12,994.09 × 5,167.39
  4. Step 4: Simplify right side
    9,415.91x = 67,145,530.73
  5. Step 5: Solve for x
    x = 67,145,530.73/9,415.91
  6. Step 6: Final answer
    x = 7,131.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.