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Finding the Fourth Proportional to 9,339.28, 12,893.48 and 6,199.76

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Solution

The fourth proportional to 9,339.28, 12,893.48 and 6,199.76 is: 8,559.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,339.28 : 12,893.48 = 6,199.76 : x
  2. Step 2: Convert to fraction form
    9,339.28/12,893.48 = 6,199.76/x
  3. Step 3: Cross multiply
    9,339.28x = 12,893.48 × 6,199.76
  4. Step 4: Simplify right side
    9,339.28x = 79,936,481.56
  5. Step 5: Solve for x
    x = 79,936,481.56/9,339.28
  6. Step 6: Final answer
    x = 8,559.17

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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.