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Finding the Fourth Proportional to 9,406.80, 14,103.54 and 4,723.44

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Solution

The fourth proportional to 9,406.80, 14,103.54 and 4,723.44 is: 7,081.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,406.80 : 14,103.54 = 4,723.44 : x
  2. Step 2: Convert to fraction form
    9,406.80/14,103.54 = 4,723.44/x
  3. Step 3: Cross multiply
    9,406.80x = 14,103.54 × 4,723.44
  4. Step 4: Simplify right side
    9,406.80x = 66,617,224.98
  5. Step 5: Solve for x
    x = 66,617,224.98/9,406.80
  6. Step 6: Final answer
    x = 7,081.82

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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.