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Finding the Fourth Proportional to 9,841.33, 14,760.60 and 2,821.94

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Solution

The fourth proportional to 9,841.33, 14,760.60 and 2,821.94 is: 4,232.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,841.33 : 14,760.60 = 2,821.94 : x
  2. Step 2: Convert to fraction form
    9,841.33/14,760.60 = 2,821.94/x
  3. Step 3: Cross multiply
    9,841.33x = 14,760.60 × 2,821.94
  4. Step 4: Simplify right side
    9,841.33x = 41,653,453.76
  5. Step 5: Solve for x
    x = 41,653,453.76/9,841.33
  6. Step 6: Final answer
    x = 4,232.50

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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.