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Finding the Fourth Proportional to 9,126.68, 12,596.09 and 5,543.43

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Solution

The fourth proportional to 9,126.68, 12,596.09 and 5,543.43 is: 7,650.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,126.68 : 12,596.09 = 5,543.43 : x
  2. Step 2: Convert to fraction form
    9,126.68/12,596.09 = 5,543.43/x
  3. Step 3: Cross multiply
    9,126.68x = 12,596.09 × 5,543.43
  4. Step 4: Simplify right side
    9,126.68x = 69,825,515.47
  5. Step 5: Solve for x
    x = 69,825,515.47/9,126.68
  6. Step 6: Final answer
    x = 7,650.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.