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Finding the Fourth Proportional to 9,285.52, 12,806.87 and 6,452.85

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Solution

The fourth proportional to 9,285.52, 12,806.87 and 6,452.85 is: 8,899.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,285.52 : 12,806.87 = 6,452.85 : x
  2. Step 2: Convert to fraction form
    9,285.52/12,806.87 = 6,452.85/x
  3. Step 3: Cross multiply
    9,285.52x = 12,806.87 × 6,452.85
  4. Step 4: Simplify right side
    9,285.52x = 82,640,811.08
  5. Step 5: Solve for x
    x = 82,640,811.08/9,285.52
  6. Step 6: Final answer
    x = 8,899.97

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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.