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Finding the Fourth Proportional to 9,505.53, 14,257.49 and 2,580.03

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Solution

The fourth proportional to 9,505.53, 14,257.49 and 2,580.03 is: 3,869.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,505.53 : 14,257.49 = 2,580.03 : x
  2. Step 2: Convert to fraction form
    9,505.53/14,257.49 = 2,580.03/x
  3. Step 3: Cross multiply
    9,505.53x = 14,257.49 × 2,580.03
  4. Step 4: Simplify right side
    9,505.53x = 36,784,739.02
  5. Step 5: Solve for x
    x = 36,784,739.02/9,505.53
  6. Step 6: Final answer
    x = 3,869.83

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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.