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Finding the Fourth Proportional to 9,524.24, 13,144.76 and 5,747.60

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Solution

The fourth proportional to 9,524.24, 13,144.76 and 5,747.60 is: 7,932.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,524.24 : 13,144.76 = 5,747.60 : x
  2. Step 2: Convert to fraction form
    9,524.24/13,144.76 = 5,747.60/x
  3. Step 3: Cross multiply
    9,524.24x = 13,144.76 × 5,747.60
  4. Step 4: Simplify right side
    9,524.24x = 75,550,822.58
  5. Step 5: Solve for x
    x = 75,550,822.58/9,524.24
  6. Step 6: Final answer
    x = 7,932.48

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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.