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Finding the Fourth Proportional to 9,586.26, 14,380.80 and 3,010.26

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Solution

The fourth proportional to 9,586.26, 14,380.80 and 3,010.26 is: 4,515.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,586.26 : 14,380.80 = 3,010.26 : x
  2. Step 2: Convert to fraction form
    9,586.26/14,380.80 = 3,010.26/x
  3. Step 3: Cross multiply
    9,586.26x = 14,380.80 × 3,010.26
  4. Step 4: Simplify right side
    9,586.26x = 43,289,947.01
  5. Step 5: Solve for x
    x = 43,289,947.01/9,586.26
  6. Step 6: Final answer
    x = 4,515.83

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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.