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Finding the Fourth Proportional to 9,937.60, 14,905.94 and 2,917.33

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Solution

The fourth proportional to 9,937.60, 14,905.94 and 2,917.33 is: 4,375.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,937.60 : 14,905.94 = 2,917.33 : x
  2. Step 2: Convert to fraction form
    9,937.60/14,905.94 = 2,917.33/x
  3. Step 3: Cross multiply
    9,937.60x = 14,905.94 × 2,917.33
  4. Step 4: Simplify right side
    9,937.60x = 43,485,545.94
  5. Step 5: Solve for x
    x = 43,485,545.94/9,937.60
  6. Step 6: Final answer
    x = 4,375.86

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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.