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Finding the Fourth Proportional to 9,775.33, 14,661.81 and 2,755.87

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Solution

The fourth proportional to 9,775.33, 14,661.81 and 2,755.87 is: 4,133.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,775.33 : 14,661.81 = 2,755.87 : x
  2. Step 2: Convert to fraction form
    9,775.33/14,661.81 = 2,755.87/x
  3. Step 3: Cross multiply
    9,775.33x = 14,661.81 × 2,755.87
  4. Step 4: Simplify right side
    9,775.33x = 40,406,042.32
  5. Step 5: Solve for x
    x = 40,406,042.32/9,775.33
  6. Step 6: Final answer
    x = 4,133.47

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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.