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Finding the Fourth Proportional to 9,550.84, 14,311.11 and 6,419.33

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Solution

The fourth proportional to 9,550.84, 14,311.11 and 6,419.33 is: 9,618.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,550.84 : 14,311.11 = 6,419.33 : x
  2. Step 2: Convert to fraction form
    9,550.84/14,311.11 = 6,419.33/x
  3. Step 3: Cross multiply
    9,550.84x = 14,311.11 × 6,419.33
  4. Step 4: Simplify right side
    9,550.84x = 91,867,649.53
  5. Step 5: Solve for x
    x = 91,867,649.53/9,550.84
  6. Step 6: Final answer
    x = 9,618.81

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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.