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Finding the Fourth Proportional to 9,757.97, 13,462.40 and 6,405.34

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Solution

The fourth proportional to 9,757.97, 13,462.40 and 6,405.34 is: 8,837.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,757.97 : 13,462.40 = 6,405.34 : x
  2. Step 2: Convert to fraction form
    9,757.97/13,462.40 = 6,405.34/x
  3. Step 3: Cross multiply
    9,757.97x = 13,462.40 × 6,405.34
  4. Step 4: Simplify right side
    9,757.97x = 86,231,283.28
  5. Step 5: Solve for x
    x = 86,231,283.28/9,757.97
  6. Step 6: Final answer
    x = 8,837.01

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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.