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Finding the Fourth Proportional to 9,781.00, 14,673.20 and 3,204.97

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Solution

The fourth proportional to 9,781.00, 14,673.20 and 3,204.97 is: 4,808.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,781.00 : 14,673.20 = 3,204.97 : x
  2. Step 2: Convert to fraction form
    9,781.00/14,673.20 = 3,204.97/x
  3. Step 3: Cross multiply
    9,781.00x = 14,673.20 × 3,204.97
  4. Step 4: Simplify right side
    9,781.00x = 47,027,131.12
  5. Step 5: Solve for x
    x = 47,027,131.12/9,781.00
  6. Step 6: Final answer
    x = 4,808.01

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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.