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Finding the Fourth Proportional to 9,855.43, 14,775.16 and 6,727.56

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Solution

The fourth proportional to 9,855.43, 14,775.16 and 6,727.56 is: 10,085.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,855.43 : 14,775.16 = 6,727.56 : x
  2. Step 2: Convert to fraction form
    9,855.43/14,775.16 = 6,727.56/x
  3. Step 3: Cross multiply
    9,855.43x = 14,775.16 × 6,727.56
  4. Step 4: Simplify right side
    9,855.43x = 99,400,775.41
  5. Step 5: Solve for x
    x = 99,400,775.41/9,855.43
  6. Step 6: Final answer
    x = 10,085.89

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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.