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Finding the Fourth Proportional to 9,259.87, 13,885.96 and 5,744.60

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Solution

The fourth proportional to 9,259.87, 13,885.96 and 5,744.60 is: 8,614.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,259.87 : 13,885.96 = 5,744.60 : x
  2. Step 2: Convert to fraction form
    9,259.87/13,885.96 = 5,744.60/x
  3. Step 3: Cross multiply
    9,259.87x = 13,885.96 × 5,744.60
  4. Step 4: Simplify right side
    9,259.87x = 79,769,209.66
  5. Step 5: Solve for x
    x = 79,769,209.66/9,259.87
  6. Step 6: Final answer
    x = 8,614.51

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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.