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Finding the Fourth Proportional to 12,605.34, 17,394.95 and 6,939.57

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Solution

The fourth proportional to 12,605.34, 17,394.95 and 6,939.57 is: 9,576.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,605.34 : 17,394.95 = 6,939.57 : x
  2. Step 2: Convert to fraction form
    12,605.34/17,394.95 = 6,939.57/x
  3. Step 3: Cross multiply
    12,605.34x = 17,394.95 × 6,939.57
  4. Step 4: Simplify right side
    12,605.34x = 120,713,473.17
  5. Step 5: Solve for x
    x = 120,713,473.17/12,605.34
  6. Step 6: Final answer
    x = 9,576.38

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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.