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Finding the Fourth Proportional to 9,792.87, 13,462.19 and 8,425.14

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Solution

The fourth proportional to 9,792.87, 13,462.19 and 8,425.14 is: 11,581.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,792.87 : 13,462.19 = 8,425.14 : x
  2. Step 2: Convert to fraction form
    9,792.87/13,462.19 = 8,425.14/x
  3. Step 3: Cross multiply
    9,792.87x = 13,462.19 × 8,425.14
  4. Step 4: Simplify right side
    9,792.87x = 113,420,835.46
  5. Step 5: Solve for x
    x = 113,420,835.46/9,792.87
  6. Step 6: Final answer
    x = 11,581.99

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.