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Finding the Fourth Proportional to 12,605.34, 17,395.79 and 6,940.37

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Solution

The fourth proportional to 12,605.34, 17,395.79 and 6,940.37 is: 9,577.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,605.34 : 17,395.79 = 6,940.37 : x
  2. Step 2: Convert to fraction form
    12,605.34/17,395.79 = 6,940.37/x
  3. Step 3: Cross multiply
    12,605.34x = 17,395.79 × 6,940.37
  4. Step 4: Simplify right side
    12,605.34x = 120,733,219.04
  5. Step 5: Solve for x
    x = 120,733,219.04/12,605.34
  6. Step 6: Final answer
    x = 9,577.94

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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.