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Finding the Fourth Proportional to 9,672.22, 13,343.16 and 5,690.80

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Solution

The fourth proportional to 9,672.22, 13,343.16 and 5,690.80 is: 7,850.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,672.22 : 13,343.16 = 5,690.80 : x
  2. Step 2: Convert to fraction form
    9,672.22/13,343.16 = 5,690.80/x
  3. Step 3: Cross multiply
    9,672.22x = 13,343.16 × 5,690.80
  4. Step 4: Simplify right side
    9,672.22x = 75,933,254.93
  5. Step 5: Solve for x
    x = 75,933,254.93/9,672.22
  6. Step 6: Final answer
    x = 7,850.65

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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.