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Finding the Fourth Proportional to 9,524.50, 13,143.81 and 5,332.78

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Solution

The fourth proportional to 9,524.50, 13,143.81 and 5,332.78 is: 7,359.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,524.50 : 13,143.81 = 5,332.78 : x
  2. Step 2: Convert to fraction form
    9,524.50/13,143.81 = 5,332.78/x
  3. Step 3: Cross multiply
    9,524.50x = 13,143.81 × 5,332.78
  4. Step 4: Simplify right side
    9,524.50x = 70,093,047.09
  5. Step 5: Solve for x
    x = 70,093,047.09/9,524.50
  6. Step 6: Final answer
    x = 7,359.24

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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.