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Finding the Fourth Proportional to 9,762.68, 13,472.43 and 5,286.36

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Solution

The fourth proportional to 9,762.68, 13,472.43 and 5,286.36 is: 7,295.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,762.68 : 13,472.43 = 5,286.36 : x
  2. Step 2: Convert to fraction form
    9,762.68/13,472.43 = 5,286.36/x
  3. Step 3: Cross multiply
    9,762.68x = 13,472.43 × 5,286.36
  4. Step 4: Simplify right side
    9,762.68x = 71,220,145.75
  5. Step 5: Solve for x
    x = 71,220,145.75/9,762.68
  6. Step 6: Final answer
    x = 7,295.15

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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.