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Finding the Fourth Proportional to 9,600.28, 13,250.57 and 6,237.24

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Solution

The fourth proportional to 9,600.28, 13,250.57 and 6,237.24 is: 8,608.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,600.28 : 13,250.57 = 6,237.24 : x
  2. Step 2: Convert to fraction form
    9,600.28/13,250.57 = 6,237.24/x
  3. Step 3: Cross multiply
    9,600.28x = 13,250.57 × 6,237.24
  4. Step 4: Simplify right side
    9,600.28x = 82,646,985.23
  5. Step 5: Solve for x
    x = 82,646,985.23/9,600.28
  6. Step 6: Final answer
    x = 8,608.81

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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.