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Finding the Fourth Proportional to 12,912.09, 17,813.16 and 9,562.74

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Solution

The fourth proportional to 12,912.09, 17,813.16 and 9,562.74 is: 13,192.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,912.09 : 17,813.16 = 9,562.74 : x
  2. Step 2: Convert to fraction form
    12,912.09/17,813.16 = 9,562.74/x
  3. Step 3: Cross multiply
    12,912.09x = 17,813.16 × 9,562.74
  4. Step 4: Simplify right side
    12,912.09x = 170,342,617.66
  5. Step 5: Solve for x
    x = 170,342,617.66/12,912.09
  6. Step 6: Final answer
    x = 13,192.49

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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.