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Finding the Fourth Proportional to 11,440.92, 15,797.66 and 9,195.60

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Solution

The fourth proportional to 11,440.92, 15,797.66 and 9,195.60 is: 12,697.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,440.92 : 15,797.66 = 9,195.60 : x
  2. Step 2: Convert to fraction form
    11,440.92/15,797.66 = 9,195.60/x
  3. Step 3: Cross multiply
    11,440.92x = 15,797.66 × 9,195.60
  4. Step 4: Simplify right side
    11,440.92x = 145,268,916.32
  5. Step 5: Solve for x
    x = 145,268,916.32/11,440.92
  6. Step 6: Final answer
    x = 12,697.31

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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.