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Finding the Fourth Proportional to 9,586.54, 14,379.40 and 3,012.99

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Solution

The fourth proportional to 9,586.54, 14,379.40 and 3,012.99 is: 4,519.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,586.54 : 14,379.40 = 3,012.99 : x
  2. Step 2: Convert to fraction form
    9,586.54/14,379.40 = 3,012.99/x
  3. Step 3: Cross multiply
    9,586.54x = 14,379.40 × 3,012.99
  4. Step 4: Simplify right side
    9,586.54x = 43,324,988.41
  5. Step 5: Solve for x
    x = 43,324,988.41/9,586.54
  6. Step 6: Final answer
    x = 4,519.36

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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.