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Finding the Fourth Proportional to 9,907.92, 14,862.49 and 3,333.56

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Solution

The fourth proportional to 9,907.92, 14,862.49 and 3,333.56 is: 5,000.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,907.92 : 14,862.49 = 3,333.56 : x
  2. Step 2: Convert to fraction form
    9,907.92/14,862.49 = 3,333.56/x
  3. Step 3: Cross multiply
    9,907.92x = 14,862.49 × 3,333.56
  4. Step 4: Simplify right side
    9,907.92x = 49,544,919.52
  5. Step 5: Solve for x
    x = 49,544,919.52/9,907.92
  6. Step 6: Final answer
    x = 5,000.54

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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.