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Finding the Fourth Proportional to 9,529.75, 14,286.98 and 4,529.61

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Solution

The fourth proportional to 9,529.75, 14,286.98 and 4,529.61 is: 6,790.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,529.75 : 14,286.98 = 4,529.61 : x
  2. Step 2: Convert to fraction form
    9,529.75/14,286.98 = 4,529.61/x
  3. Step 3: Cross multiply
    9,529.75x = 14,286.98 × 4,529.61
  4. Step 4: Simplify right side
    9,529.75x = 64,714,447.48
  5. Step 5: Solve for x
    x = 64,714,447.48/9,529.75
  6. Step 6: Final answer
    x = 6,790.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.