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Finding the Fourth Proportional to 9,855.23, 14,770.01 and 4,005

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Solution

The fourth proportional to 9,855.23, 14,770.01 and 4,005 is: 6,002.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,855.23 : 14,770.01 = 4,005 : x
  2. Step 2: Convert to fraction form
    9,855.23/14,770.01 = 4,005/x
  3. Step 3: Cross multiply
    9,855.23x = 14,770.01 × 4,005
  4. Step 4: Simplify right side
    9,855.23x = 59,153,890.05
  5. Step 5: Solve for x
    x = 59,153,890.05/9,855.23
  6. Step 6: Final answer
    x = 6,002.28

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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.