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Finding the Fourth Proportional to 9,801.18, 14,703.80 and 3,227.76

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Solution

The fourth proportional to 9,801.18, 14,703.80 and 3,227.76 is: 4,842.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,801.18 : 14,703.80 = 3,227.76 : x
  2. Step 2: Convert to fraction form
    9,801.18/14,703.80 = 3,227.76/x
  3. Step 3: Cross multiply
    9,801.18x = 14,703.80 × 3,227.76
  4. Step 4: Simplify right side
    9,801.18x = 47,460,321.35
  5. Step 5: Solve for x
    x = 47,460,321.35/9,801.18
  6. Step 6: Final answer
    x = 4,842.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.