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Finding the Fourth Proportional to 10,876.94, 14,997.04 and 9,195.38

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Solution

The fourth proportional to 10,876.94, 14,997.04 and 9,195.38 is: 12,678.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,876.94 : 14,997.04 = 9,195.38 : x
  2. Step 2: Convert to fraction form
    10,876.94/14,997.04 = 9,195.38/x
  3. Step 3: Cross multiply
    10,876.94x = 14,997.04 × 9,195.38
  4. Step 4: Simplify right side
    10,876.94x = 137,903,383.70
  5. Step 5: Solve for x
    x = 137,903,383.70/10,876.94
  6. Step 6: Final answer
    x = 12,678.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.