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Finding the Fourth Proportional to 9,769, 14,655.82 and 3,195.18

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Solution

The fourth proportional to 9,769, 14,655.82 and 3,195.18 is: 4,793.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,769 : 14,655.82 = 3,195.18 : x
  2. Step 2: Convert to fraction form
    9,769/14,655.82 = 3,195.18/x
  3. Step 3: Cross multiply
    9,769x = 14,655.82 × 3,195.18
  4. Step 4: Simplify right side
    9,769x = 46,827,982.95
  5. Step 5: Solve for x
    x = 46,827,982.95/9,769
  6. Step 6: Final answer
    x = 4,793.53

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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.