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Finding the Fourth Proportional to 9,600.38, 14,406.23 and 4,053.36

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Solution

The fourth proportional to 9,600.38, 14,406.23 and 4,053.36 is: 6,082.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,600.38 : 14,406.23 = 4,053.36 : x
  2. Step 2: Convert to fraction form
    9,600.38/14,406.23 = 4,053.36/x
  3. Step 3: Cross multiply
    9,600.38x = 14,406.23 × 4,053.36
  4. Step 4: Simplify right side
    9,600.38x = 58,393,646.57
  5. Step 5: Solve for x
    x = 58,393,646.57/9,600.38
  6. Step 6: Final answer
    x = 6,082.43

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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.