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Finding the Fourth Proportional to 9,661.28, 14,492.99 and 2,736.32

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Solution

The fourth proportional to 9,661.28, 14,492.99 and 2,736.32 is: 4,104.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,661.28 : 14,492.99 = 2,736.32 : x
  2. Step 2: Convert to fraction form
    9,661.28/14,492.99 = 2,736.32/x
  3. Step 3: Cross multiply
    9,661.28x = 14,492.99 × 2,736.32
  4. Step 4: Simplify right side
    9,661.28x = 39,657,392.77
  5. Step 5: Solve for x
    x = 39,657,392.77/9,661.28
  6. Step 6: Final answer
    x = 4,104.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.