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Finding the Fourth Proportional to 12,964.50, 17,893.17 and 9,815.22

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Solution

The fourth proportional to 12,964.50, 17,893.17 and 9,815.22 is: 13,546.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,964.50 : 17,893.17 = 9,815.22 : x
  2. Step 2: Convert to fraction form
    12,964.50/17,893.17 = 9,815.22/x
  3. Step 3: Cross multiply
    12,964.50x = 17,893.17 × 9,815.22
  4. Step 4: Simplify right side
    12,964.50x = 175,625,400.05
  5. Step 5: Solve for x
    x = 175,625,400.05/12,964.50
  6. Step 6: Final answer
    x = 13,546.64

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