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Finding the Fourth Proportional to 9,284.02, 12,801.17 and 6,453.82

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Solution

The fourth proportional to 9,284.02, 12,801.17 and 6,453.82 is: 8,898.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,284.02 : 12,801.17 = 6,453.82 : x
  2. Step 2: Convert to fraction form
    9,284.02/12,801.17 = 6,453.82/x
  3. Step 3: Cross multiply
    9,284.02x = 12,801.17 × 6,453.82
  4. Step 4: Simplify right side
    9,284.02x = 82,616,446.97
  5. Step 5: Solve for x
    x = 82,616,446.97/9,284.02
  6. Step 6: Final answer
    x = 8,898.78

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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.