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Finding the Fourth Proportional to 9,283.26, 12,813.81 and 6,262.76

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Solution

The fourth proportional to 9,283.26, 12,813.81 and 6,262.76 is: 8,644.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,283.26 : 12,813.81 = 6,262.76 : x
  2. Step 2: Convert to fraction form
    9,283.26/12,813.81 = 6,262.76/x
  3. Step 3: Cross multiply
    9,283.26x = 12,813.81 × 6,262.76
  4. Step 4: Simplify right side
    9,283.26x = 80,249,743.97
  5. Step 5: Solve for x
    x = 80,249,743.97/9,283.26
  6. Step 6: Final answer
    x = 8,644.56

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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.