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Finding the Fourth Proportional to 9,499.28, 14,251.80 and 6,731.32

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Solution

The fourth proportional to 9,499.28, 14,251.80 and 6,731.32 is: 10,099.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,499.28 : 14,251.80 = 6,731.32 : x
  2. Step 2: Convert to fraction form
    9,499.28/14,251.80 = 6,731.32/x
  3. Step 3: Cross multiply
    9,499.28x = 14,251.80 × 6,731.32
  4. Step 4: Simplify right side
    9,499.28x = 95,933,355.12
  5. Step 5: Solve for x
    x = 95,933,355.12/9,499.28
  6. Step 6: Final answer
    x = 10,099.01

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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.