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Finding the Fourth Proportional to 9,027.72, 12,452.00 and 8,284.14

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Solution

The fourth proportional to 9,027.72, 12,452.00 and 8,284.14 is: 11,426.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,027.72 : 12,452.00 = 8,284.14 : x
  2. Step 2: Convert to fraction form
    9,027.72/12,452.00 = 8,284.14/x
  3. Step 3: Cross multiply
    9,027.72x = 12,452.00 × 8,284.14
  4. Step 4: Simplify right side
    9,027.72x = 103,154,069.86
  5. Step 5: Solve for x
    x = 103,154,069.86/9,027.72
  6. Step 6: Final answer
    x = 11,426.37

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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.