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Finding the Fourth Proportional to 9,844.08, 14,764 and 3,270.80

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Solution

The fourth proportional to 9,844.08, 14,764 and 3,270.80 is: 4,905.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,844.08 : 14,764 = 3,270.80 : x
  2. Step 2: Convert to fraction form
    9,844.08/14,764 = 3,270.80/x
  3. Step 3: Cross multiply
    9,844.08x = 14,764 × 3,270.80
  4. Step 4: Simplify right side
    9,844.08x = 48,290,091.20
  5. Step 5: Solve for x
    x = 48,290,091.20/9,844.08
  6. Step 6: Final answer
    x = 4,905.50

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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.