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Finding the Fourth Proportional to 9,388.40, 14,080.80 and 2,814.80

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Solution

The fourth proportional to 9,388.40, 14,080.80 and 2,814.80 is: 4,221.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,388.40 : 14,080.80 = 2,814.80 : x
  2. Step 2: Convert to fraction form
    9,388.40/14,080.80 = 2,814.80/x
  3. Step 3: Cross multiply
    9,388.40x = 14,080.80 × 2,814.80
  4. Step 4: Simplify right side
    9,388.40x = 39,634,635.84
  5. Step 5: Solve for x
    x = 39,634,635.84/9,388.40
  6. Step 6: Final answer
    x = 4,221.66

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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.