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Finding the Fourth Proportional to 9,802.01, 14,705.20 and 3,227.75

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Solution

The fourth proportional to 9,802.01, 14,705.20 and 3,227.75 is: 4,842.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,802.01 : 14,705.20 = 3,227.75 : x
  2. Step 2: Convert to fraction form
    9,802.01/14,705.20 = 3,227.75/x
  3. Step 3: Cross multiply
    9,802.01x = 14,705.20 × 3,227.75
  4. Step 4: Simplify right side
    9,802.01x = 47,464,676.80
  5. Step 5: Solve for x
    x = 47,464,676.80/9,802.01
  6. Step 6: Final answer
    x = 4,842.34

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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.