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Finding the Fourth Proportional to 9,495.68, 14,231.12 and 6,872.02

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Solution

The fourth proportional to 9,495.68, 14,231.12 and 6,872.02 is: 10,299.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,495.68 : 14,231.12 = 6,872.02 : x
  2. Step 2: Convert to fraction form
    9,495.68/14,231.12 = 6,872.02/x
  3. Step 3: Cross multiply
    9,495.68x = 14,231.12 × 6,872.02
  4. Step 4: Simplify right side
    9,495.68x = 97,796,470.11
  5. Step 5: Solve for x
    x = 97,796,470.11/9,495.68
  6. Step 6: Final answer
    x = 10,299.05

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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.