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Finding the Fourth Proportional to 9,912.33, 14,868.48 and 3,338.50

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Solution

The fourth proportional to 9,912.33, 14,868.48 and 3,338.50 is: 5,007.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,912.33 : 14,868.48 = 3,338.50 : x
  2. Step 2: Convert to fraction form
    9,912.33/14,868.48 = 3,338.50/x
  3. Step 3: Cross multiply
    9,912.33x = 14,868.48 × 3,338.50
  4. Step 4: Simplify right side
    9,912.33x = 49,638,420.48
  5. Step 5: Solve for x
    x = 49,638,420.48/9,912.33
  6. Step 6: Final answer
    x = 5,007.74

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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.