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Finding the Fourth Proportional to 10,449.42, 14,426.96 and 6,474.75

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Solution

The fourth proportional to 10,449.42, 14,426.96 and 6,474.75 is: 8,939.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,449.42 : 14,426.96 = 6,474.75 : x
  2. Step 2: Convert to fraction form
    10,449.42/14,426.96 = 6,474.75/x
  3. Step 3: Cross multiply
    10,449.42x = 14,426.96 × 6,474.75
  4. Step 4: Simplify right side
    10,449.42x = 93,410,926.89
  5. Step 5: Solve for x
    x = 93,410,926.89/10,449.42
  6. Step 6: Final answer
    x = 8,939.34

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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.