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Finding the Fourth Proportional to 9,143.27, 13,720.65 and 3,596.47

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Solution

The fourth proportional to 9,143.27, 13,720.65 and 3,596.47 is: 5,396.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,143.27 : 13,720.65 = 3,596.47 : x
  2. Step 2: Convert to fraction form
    9,143.27/13,720.65 = 3,596.47/x
  3. Step 3: Cross multiply
    9,143.27x = 13,720.65 × 3,596.47
  4. Step 4: Simplify right side
    9,143.27x = 49,345,819.52
  5. Step 5: Solve for x
    x = 49,345,819.52/9,143.27
  6. Step 6: Final answer
    x = 5,396.96

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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.