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Finding the Fourth Proportional to 9,940.50, 13,713.93 and 6,405.75

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Solution

The fourth proportional to 9,940.50, 13,713.93 and 6,405.75 is: 8,837.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,940.50 : 13,713.93 = 6,405.75 : x
  2. Step 2: Convert to fraction form
    9,940.50/13,713.93 = 6,405.75/x
  3. Step 3: Cross multiply
    9,940.50x = 13,713.93 × 6,405.75
  4. Step 4: Simplify right side
    9,940.50x = 87,848,007.10
  5. Step 5: Solve for x
    x = 87,848,007.10/9,940.50
  6. Step 6: Final answer
    x = 8,837.38

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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.