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Finding the Fourth Proportional to 9,550.12, 14,330.74 and 4,003

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Solution

The fourth proportional to 9,550.12, 14,330.74 and 4,003 is: 6,006.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,550.12 : 14,330.74 = 4,003 : x
  2. Step 2: Convert to fraction form
    9,550.12/14,330.74 = 4,003/x
  3. Step 3: Cross multiply
    9,550.12x = 14,330.74 × 4,003
  4. Step 4: Simplify right side
    9,550.12x = 57,365,952.22
  5. Step 5: Solve for x
    x = 57,365,952.22/9,550.12
  6. Step 6: Final answer
    x = 6,006.83

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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.