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Finding the Fourth Proportional to 9,284.52, 12,805.49 and 6,451.85

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Solution

The fourth proportional to 9,284.52, 12,805.49 and 6,451.85 is: 8,898.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,284.52 : 12,805.49 = 6,451.85 : x
  2. Step 2: Convert to fraction form
    9,284.52/12,805.49 = 6,451.85/x
  3. Step 3: Cross multiply
    9,284.52x = 12,805.49 × 6,451.85
  4. Step 4: Simplify right side
    9,284.52x = 82,619,148.80
  5. Step 5: Solve for x
    x = 82,619,148.80/9,284.52
  6. Step 6: Final answer
    x = 8,898.59

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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.