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Finding the Fourth Proportional to 9,502.28, 13,112.90 and 5,253.05

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Solution

The fourth proportional to 9,502.28, 13,112.90 and 5,253.05 is: 7,249.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,502.28 : 13,112.90 = 5,253.05 : x
  2. Step 2: Convert to fraction form
    9,502.28/13,112.90 = 5,253.05/x
  3. Step 3: Cross multiply
    9,502.28x = 13,112.90 × 5,253.05
  4. Step 4: Simplify right side
    9,502.28x = 68,882,627.52
  5. Step 5: Solve for x
    x = 68,882,627.52/9,502.28
  6. Step 6: Final answer
    x = 7,249.06

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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.