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Finding the Fourth Proportional to 9,586.53, 14,382.08 and 3,012.72

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Solution

The fourth proportional to 9,586.53, 14,382.08 and 3,012.72 is: 4,519.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,586.53 : 14,382.08 = 3,012.72 : x
  2. Step 2: Convert to fraction form
    9,586.53/14,382.08 = 3,012.72/x
  3. Step 3: Cross multiply
    9,586.53x = 14,382.08 × 3,012.72
  4. Step 4: Simplify right side
    9,586.53x = 43,329,122.36
  5. Step 5: Solve for x
    x = 43,329,122.36/9,586.53
  6. Step 6: Final answer
    x = 4,519.79

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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.