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Finding the Fourth Proportional to 10,450.50, 14,416.74 and 9,256.65

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Solution

The fourth proportional to 10,450.50, 14,416.74 and 9,256.65 is: 12,769.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,450.50 : 14,416.74 = 9,256.65 : x
  2. Step 2: Convert to fraction form
    10,450.50/14,416.74 = 9,256.65/x
  3. Step 3: Cross multiply
    10,450.50x = 14,416.74 × 9,256.65
  4. Step 4: Simplify right side
    10,450.50x = 133,450,716.32
  5. Step 5: Solve for x
    x = 133,450,716.32/10,450.50
  6. Step 6: Final answer
    x = 12,769.79

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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.