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Finding the Fourth Proportional to 9,801.63, 14,704.72 and 3,227.58

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Solution

The fourth proportional to 9,801.63, 14,704.72 and 3,227.58 is: 4,842.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,801.63 : 14,704.72 = 3,227.58 : x
  2. Step 2: Convert to fraction form
    9,801.63/14,704.72 = 3,227.58/x
  3. Step 3: Cross multiply
    9,801.63x = 14,704.72 × 3,227.58
  4. Step 4: Simplify right side
    9,801.63x = 47,460,652.11
  5. Step 5: Solve for x
    x = 47,460,652.11/9,801.63
  6. Step 6: Final answer
    x = 4,842.12

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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.