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Finding the Fourth Proportional to 12,393.41, 17,102.91 and 6,728.16

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Solution

The fourth proportional to 12,393.41, 17,102.91 and 6,728.16 is: 9,284.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,393.41 : 17,102.91 = 6,728.16 : x
  2. Step 2: Convert to fraction form
    12,393.41/17,102.91 = 6,728.16/x
  3. Step 3: Cross multiply
    12,393.41x = 17,102.91 × 6,728.16
  4. Step 4: Simplify right side
    12,393.41x = 115,071,060.01
  5. Step 5: Solve for x
    x = 115,071,060.01/12,393.41
  6. Step 6: Final answer
    x = 9,284.86

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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.