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Finding the Fourth Proportional to 9,499.64, 14,249.27 and 2,836.12

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Solution

The fourth proportional to 9,499.64, 14,249.27 and 2,836.12 is: 4,254.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,499.64 : 14,249.27 = 2,836.12 : x
  2. Step 2: Convert to fraction form
    9,499.64/14,249.27 = 2,836.12/x
  3. Step 3: Cross multiply
    9,499.64x = 14,249.27 × 2,836.12
  4. Step 4: Simplify right side
    9,499.64x = 40,412,694.92
  5. Step 5: Solve for x
    x = 40,412,694.92/9,499.64
  6. Step 6: Final answer
    x = 4,254.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.