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Finding the Fourth Proportional to 9,917.14, 14,866.26 and 3,339.94

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Solution

The fourth proportional to 9,917.14, 14,866.26 and 3,339.94 is: 5,006.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,917.14 : 14,866.26 = 3,339.94 : x
  2. Step 2: Convert to fraction form
    9,917.14/14,866.26 = 3,339.94/x
  3. Step 3: Cross multiply
    9,917.14x = 14,866.26 × 3,339.94
  4. Step 4: Simplify right side
    9,917.14x = 49,652,416.42
  5. Step 5: Solve for x
    x = 49,652,416.42/9,917.14
  6. Step 6: Final answer
    x = 5,006.73

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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.