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Finding the Fourth Proportional to 9,860.43, 14,782.65 and 6,732.56

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Solution

The fourth proportional to 9,860.43, 14,782.65 and 6,732.56 is: 10,093.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,860.43 : 14,782.65 = 6,732.56 : x
  2. Step 2: Convert to fraction form
    9,860.43/14,782.65 = 6,732.56/x
  3. Step 3: Cross multiply
    9,860.43x = 14,782.65 × 6,732.56
  4. Step 4: Simplify right side
    9,860.43x = 99,525,004.17
  5. Step 5: Solve for x
    x = 99,525,004.17/9,860.43
  6. Step 6: Final answer
    x = 10,093.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.