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Finding the Fourth Proportional to 9,909.81, 14,864.70 and 5,467.26

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Solution

The fourth proportional to 9,909.81, 14,864.70 and 5,467.26 is: 8,200.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,909.81 : 14,864.70 = 5,467.26 : x
  2. Step 2: Convert to fraction form
    9,909.81/14,864.70 = 5,467.26/x
  3. Step 3: Cross multiply
    9,909.81x = 14,864.70 × 5,467.26
  4. Step 4: Simplify right side
    9,909.81x = 81,269,179.72
  5. Step 5: Solve for x
    x = 81,269,179.72/9,909.81
  6. Step 6: Final answer
    x = 8,200.88

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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.