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Finding the Fourth Proportional to 8,997.28, 12,411.05 and 5,409.75

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Solution

The fourth proportional to 8,997.28, 12,411.05 and 5,409.75 is: 7,462.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,997.28 : 12,411.05 = 5,409.75 : x
  2. Step 2: Convert to fraction form
    8,997.28/12,411.05 = 5,409.75/x
  3. Step 3: Cross multiply
    8,997.28x = 12,411.05 × 5,409.75
  4. Step 4: Simplify right side
    8,997.28x = 67,140,694.32
  5. Step 5: Solve for x
    x = 67,140,694.32/8,997.28
  6. Step 6: Final answer
    x = 7,462.33

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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.