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Finding the Fourth Proportional to 9,539.74, 14,311.24 and 3,617.14

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Solution

The fourth proportional to 9,539.74, 14,311.24 and 3,617.14 is: 5,426.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,539.74 : 14,311.24 = 3,617.14 : x
  2. Step 2: Convert to fraction form
    9,539.74/14,311.24 = 3,617.14/x
  3. Step 3: Cross multiply
    9,539.74x = 14,311.24 × 3,617.14
  4. Step 4: Simplify right side
    9,539.74x = 51,765,758.65
  5. Step 5: Solve for x
    x = 51,765,758.65/9,539.74
  6. Step 6: Final answer
    x = 5,426.33

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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.