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Finding the Fourth Proportional to 9,586.68, 14,382.32 and 3,012.87

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Solution

The fourth proportional to 9,586.68, 14,382.32 and 3,012.87 is: 4,520.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,586.68 : 14,382.32 = 3,012.87 : x
  2. Step 2: Convert to fraction form
    9,586.68/14,382.32 = 3,012.87/x
  3. Step 3: Cross multiply
    9,586.68x = 14,382.32 × 3,012.87
  4. Step 4: Simplify right side
    9,586.68x = 43,332,045.39
  5. Step 5: Solve for x
    x = 43,332,045.39/9,586.68
  6. Step 6: Final answer
    x = 4,520.03

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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.