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Finding the Fourth Proportional to 10,467.81, 14,441.97 and 6,487.47

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Solution

The fourth proportional to 10,467.81, 14,441.97 and 6,487.47 is: 8,950.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,467.81 : 14,441.97 = 6,487.47 : x
  2. Step 2: Convert to fraction form
    10,467.81/14,441.97 = 6,487.47/x
  3. Step 3: Cross multiply
    10,467.81x = 14,441.97 × 6,487.47
  4. Step 4: Simplify right side
    10,467.81x = 93,691,847.12
  5. Step 5: Solve for x
    x = 93,691,847.12/10,467.81
  6. Step 6: Final answer
    x = 8,950.47

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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.