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Finding the Fourth Proportional to 9,338.89, 14,010 and 3,099.28

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Solution

The fourth proportional to 9,338.89, 14,010 and 3,099.28 is: 4,649.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,338.89 : 14,010 = 3,099.28 : x
  2. Step 2: Convert to fraction form
    9,338.89/14,010 = 3,099.28/x
  3. Step 3: Cross multiply
    9,338.89x = 14,010 × 3,099.28
  4. Step 4: Simplify right side
    9,338.89x = 43,420,912.80
  5. Step 5: Solve for x
    x = 43,420,912.80/9,338.89
  6. Step 6: Final answer
    x = 4,649.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.