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Finding the Fourth Proportional to 9,377.30, 12,940.14 and 5,185.28

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Solution

The fourth proportional to 9,377.30, 12,940.14 and 5,185.28 is: 7,155.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,377.30 : 12,940.14 = 5,185.28 : x
  2. Step 2: Convert to fraction form
    9,377.30/12,940.14 = 5,185.28/x
  3. Step 3: Cross multiply
    9,377.30x = 12,940.14 × 5,185.28
  4. Step 4: Simplify right side
    9,377.30x = 67,098,249.14
  5. Step 5: Solve for x
    x = 67,098,249.14/9,377.30
  6. Step 6: Final answer
    x = 7,155.39

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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.