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Finding the Fourth Proportional to 9,849.24, 13,593.64 and 9,406.36

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Solution

The fourth proportional to 9,849.24, 13,593.64 and 9,406.36 is: 12,982.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,849.24 : 13,593.64 = 9,406.36 : x
  2. Step 2: Convert to fraction form
    9,849.24/13,593.64 = 9,406.36/x
  3. Step 3: Cross multiply
    9,849.24x = 13,593.64 × 9,406.36
  4. Step 4: Simplify right side
    9,849.24x = 127,866,671.55
  5. Step 5: Solve for x
    x = 127,866,671.55/9,849.24
  6. Step 6: Final answer
    x = 12,982.39

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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.