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Finding the Fourth Proportional to 9,513.24, 14,270.67 and 2,493.24

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Solution

The fourth proportional to 9,513.24, 14,270.67 and 2,493.24 is: 3,740.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,513.24 : 14,270.67 = 2,493.24 : x
  2. Step 2: Convert to fraction form
    9,513.24/14,270.67 = 2,493.24/x
  3. Step 3: Cross multiply
    9,513.24x = 14,270.67 × 2,493.24
  4. Step 4: Simplify right side
    9,513.24x = 35,580,205.27
  5. Step 5: Solve for x
    x = 35,580,205.27/9,513.24
  6. Step 6: Final answer
    x = 3,740.07

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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.