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Finding the Fourth Proportional to 9,907.70, 14,863.83 and 3,333.71

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Solution

The fourth proportional to 9,907.70, 14,863.83 and 3,333.71 is: 5,001.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,907.70 : 14,863.83 = 3,333.71 : x
  2. Step 2: Convert to fraction form
    9,907.70/14,863.83 = 3,333.71/x
  3. Step 3: Cross multiply
    9,907.70x = 14,863.83 × 3,333.71
  4. Step 4: Simplify right side
    9,907.70x = 49,551,735.87
  5. Step 5: Solve for x
    x = 49,551,735.87/9,907.70
  6. Step 6: Final answer
    x = 5,001.33

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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.