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Finding the Fourth Proportional to 12,634.94, 17,436.33 and 6,969.89

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Solution

The fourth proportional to 12,634.94, 17,436.33 and 6,969.89 is: 9,618.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,634.94 : 17,436.33 = 6,969.89 : x
  2. Step 2: Convert to fraction form
    12,634.94/17,436.33 = 6,969.89/x
  3. Step 3: Cross multiply
    12,634.94x = 17,436.33 × 6,969.89
  4. Step 4: Simplify right side
    12,634.94x = 121,529,345.69
  5. Step 5: Solve for x
    x = 121,529,345.69/12,634.94
  6. Step 6: Final answer
    x = 9,618.51

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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.