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Finding the Fourth Proportional to 9,576.92, 13,205.25 and 6,743.39

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Solution

The fourth proportional to 9,576.92, 13,205.25 and 6,743.39 is: 9,298.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,576.92 : 13,205.25 = 6,743.39 : x
  2. Step 2: Convert to fraction form
    9,576.92/13,205.25 = 6,743.39/x
  3. Step 3: Cross multiply
    9,576.92x = 13,205.25 × 6,743.39
  4. Step 4: Simplify right side
    9,576.92x = 89,048,084.77
  5. Step 5: Solve for x
    x = 89,048,084.77/9,576.92
  6. Step 6: Final answer
    x = 9,298.20

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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.