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Finding the Fourth Proportional to 9,586.02, 14,379.04 and 3,012.78

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Solution

The fourth proportional to 9,586.02, 14,379.04 and 3,012.78 is: 4,519.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,586.02 : 14,379.04 = 3,012.78 : x
  2. Step 2: Convert to fraction form
    9,586.02/14,379.04 = 3,012.78/x
  3. Step 3: Cross multiply
    9,586.02x = 14,379.04 × 3,012.78
  4. Step 4: Simplify right side
    9,586.02x = 43,320,884.13
  5. Step 5: Solve for x
    x = 43,320,884.13/9,586.02
  6. Step 6: Final answer
    x = 4,519.17

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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.