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Finding the Fourth Proportional to 11,792.25, 16,260.02 and 9,097.34

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Solution

The fourth proportional to 11,792.25, 16,260.02 and 9,097.34 is: 12,544.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,792.25 : 16,260.02 = 9,097.34 : x
  2. Step 2: Convert to fraction form
    11,792.25/16,260.02 = 9,097.34/x
  3. Step 3: Cross multiply
    11,792.25x = 16,260.02 × 9,097.34
  4. Step 4: Simplify right side
    11,792.25x = 147,922,837.68
  5. Step 5: Solve for x
    x = 147,922,837.68/11,792.25
  6. Step 6: Final answer
    x = 12,544.07

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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.