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Finding the Fourth Proportional to 9,568.57, 13,217.27 and 7,980.42

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Solution

The fourth proportional to 9,568.57, 13,217.27 and 7,980.42 is: 11,023.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,568.57 : 13,217.27 = 7,980.42 : x
  2. Step 2: Convert to fraction form
    9,568.57/13,217.27 = 7,980.42/x
  3. Step 3: Cross multiply
    9,568.57x = 13,217.27 × 7,980.42
  4. Step 4: Simplify right side
    9,568.57x = 105,479,365.85
  5. Step 5: Solve for x
    x = 105,479,365.85/9,568.57
  6. Step 6: Final answer
    x = 11,023.52

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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.