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Finding the Fourth Proportional to 9,761.30, 14,640.84 and 2,835.80

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Solution

The fourth proportional to 9,761.30, 14,640.84 and 2,835.80 is: 4,253.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,761.30 : 14,640.84 = 2,835.80 : x
  2. Step 2: Convert to fraction form
    9,761.30/14,640.84 = 2,835.80/x
  3. Step 3: Cross multiply
    9,761.30x = 14,640.84 × 2,835.80
  4. Step 4: Simplify right side
    9,761.30x = 41,518,494.07
  5. Step 5: Solve for x
    x = 41,518,494.07/9,761.30
  6. Step 6: Final answer
    x = 4,253.38

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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.