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Finding the Fourth Proportional to 9,134.46, 13,635.61 and 8,027.32

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Solution

The fourth proportional to 9,134.46, 13,635.61 and 8,027.32 is: 11,982.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,134.46 : 13,635.61 = 8,027.32 : x
  2. Step 2: Convert to fraction form
    9,134.46/13,635.61 = 8,027.32/x
  3. Step 3: Cross multiply
    9,134.46x = 13,635.61 × 8,027.32
  4. Step 4: Simplify right side
    9,134.46x = 109,457,404.87
  5. Step 5: Solve for x
    x = 109,457,404.87/9,134.46
  6. Step 6: Final answer
    x = 11,982.91

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.