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Finding the Fourth Proportional to 12,626.46, 17,424.64 and 6,961.41

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Solution

The fourth proportional to 12,626.46, 17,424.64 and 6,961.41 is: 9,606.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,626.46 : 17,424.64 = 6,961.41 : x
  2. Step 2: Convert to fraction form
    12,626.46/17,424.64 = 6,961.41/x
  3. Step 3: Cross multiply
    12,626.46x = 17,424.64 × 6,961.41
  4. Step 4: Simplify right side
    12,626.46x = 121,300,032.69
  5. Step 5: Solve for x
    x = 121,300,032.69/12,626.46
  6. Step 6: Final answer
    x = 9,606.81

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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.