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Finding the Fourth Proportional to 9,940.61, 13,719.38 and 6,414.07

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Solution

The fourth proportional to 9,940.61, 13,719.38 and 6,414.07 is: 8,852.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,940.61 : 13,719.38 = 6,414.07 : x
  2. Step 2: Convert to fraction form
    9,940.61/13,719.38 = 6,414.07/x
  3. Step 3: Cross multiply
    9,940.61x = 13,719.38 × 6,414.07
  4. Step 4: Simplify right side
    9,940.61x = 87,997,023.03
  5. Step 5: Solve for x
    x = 87,997,023.03/9,940.61
  6. Step 6: Final answer
    x = 8,852.28

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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.