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Finding the Fourth Proportional to 9,466.78, 14,203.80 and 3,623.80

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Solution

The fourth proportional to 9,466.78, 14,203.80 and 3,623.80 is: 5,437.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,466.78 : 14,203.80 = 3,623.80 : x
  2. Step 2: Convert to fraction form
    9,466.78/14,203.80 = 3,623.80/x
  3. Step 3: Cross multiply
    9,466.78x = 14,203.80 × 3,623.80
  4. Step 4: Simplify right side
    9,466.78x = 51,471,730.44
  5. Step 5: Solve for x
    x = 51,471,730.44/9,466.78
  6. Step 6: Final answer
    x = 5,437.09

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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.