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Finding the Fourth Proportional to 9,383.68, 12,943.84 and 6,197.02

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Solution

The fourth proportional to 9,383.68, 12,943.84 and 6,197.02 is: 8,548.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,383.68 : 12,943.84 = 6,197.02 : x
  2. Step 2: Convert to fraction form
    9,383.68/12,943.84 = 6,197.02/x
  3. Step 3: Cross multiply
    9,383.68x = 12,943.84 × 6,197.02
  4. Step 4: Simplify right side
    9,383.68x = 80,213,235.36
  5. Step 5: Solve for x
    x = 80,213,235.36/9,383.68
  6. Step 6: Final answer
    x = 8,548.16

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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.