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Finding the Fourth Proportional to 9,505.57, 14,259.30 and 3,580.96

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Solution

The fourth proportional to 9,505.57, 14,259.30 and 3,580.96 is: 5,371.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,505.57 : 14,259.30 = 3,580.96 : x
  2. Step 2: Convert to fraction form
    9,505.57/14,259.30 = 3,580.96/x
  3. Step 3: Cross multiply
    9,505.57x = 14,259.30 × 3,580.96
  4. Step 4: Simplify right side
    9,505.57x = 51,061,982.93
  5. Step 5: Solve for x
    x = 51,061,982.93/9,505.57
  6. Step 6: Final answer
    x = 5,371.80

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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.