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Finding the Fourth Proportional to 10,475.73, 14,447.16 and 6,694.65

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Solution

The fourth proportional to 10,475.73, 14,447.16 and 6,694.65 is: 9,232.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,475.73 : 14,447.16 = 6,694.65 : x
  2. Step 2: Convert to fraction form
    10,475.73/14,447.16 = 6,694.65/x
  3. Step 3: Cross multiply
    10,475.73x = 14,447.16 × 6,694.65
  4. Step 4: Simplify right side
    10,475.73x = 96,718,679.69
  5. Step 5: Solve for x
    x = 96,718,679.69/10,475.73
  6. Step 6: Final answer
    x = 9,232.64

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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.