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Finding the Fourth Proportional to 9,586.56, 14,379.85 and 2,661.06

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Solution

The fourth proportional to 9,586.56, 14,379.85 and 2,661.06 is: 3,991.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,586.56 : 14,379.85 = 2,661.06 : x
  2. Step 2: Convert to fraction form
    9,586.56/14,379.85 = 2,661.06/x
  3. Step 3: Cross multiply
    9,586.56x = 14,379.85 × 2,661.06
  4. Step 4: Simplify right side
    9,586.56x = 38,265,643.64
  5. Step 5: Solve for x
    x = 38,265,643.64/9,586.56
  6. Step 6: Final answer
    x = 3,991.59

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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.