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Finding the Fourth Proportional to 9,524.95, 13,144.46 and 5,333.20

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Solution

The fourth proportional to 9,524.95, 13,144.46 and 5,333.20 is: 7,359.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,524.95 : 13,144.46 = 5,333.20 : x
  2. Step 2: Convert to fraction form
    9,524.95/13,144.46 = 5,333.20/x
  3. Step 3: Cross multiply
    9,524.95x = 13,144.46 × 5,333.20
  4. Step 4: Simplify right side
    9,524.95x = 70,101,974.54
  5. Step 5: Solve for x
    x = 70,101,974.54/9,524.95
  6. Step 6: Final answer
    x = 7,359.83

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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.