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Finding the Fourth Proportional to 9,696.24, 14,542.36 and 2,769.20

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Solution

The fourth proportional to 9,696.24, 14,542.36 and 2,769.20 is: 4,153.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,696.24 : 14,542.36 = 2,769.20 : x
  2. Step 2: Convert to fraction form
    9,696.24/14,542.36 = 2,769.20/x
  3. Step 3: Cross multiply
    9,696.24x = 14,542.36 × 2,769.20
  4. Step 4: Simplify right side
    9,696.24x = 40,270,703.31
  5. Step 5: Solve for x
    x = 40,270,703.31/9,696.24
  6. Step 6: Final answer
    x = 4,153.23

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