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Finding the Fourth Proportional to 9,755, 14,633.04 and 2,830.04

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Solution

The fourth proportional to 9,755, 14,633.04 and 2,830.04 is: 4,245.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,755 : 14,633.04 = 2,830.04 : x
  2. Step 2: Convert to fraction form
    9,755/14,633.04 = 2,830.04/x
  3. Step 3: Cross multiply
    9,755x = 14,633.04 × 2,830.04
  4. Step 4: Simplify right side
    9,755x = 41,412,088.52
  5. Step 5: Solve for x
    x = 41,412,088.52/9,755
  6. Step 6: Final answer
    x = 4,245.22

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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.