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Finding the Fourth Proportional to 9,811.02, 14,716.50 and 3,967.56

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Solution

The fourth proportional to 9,811.02, 14,716.50 and 3,967.56 is: 5,951.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,811.02 : 14,716.50 = 3,967.56 : x
  2. Step 2: Convert to fraction form
    9,811.02/14,716.50 = 3,967.56/x
  3. Step 3: Cross multiply
    9,811.02x = 14,716.50 × 3,967.56
  4. Step 4: Simplify right side
    9,811.02x = 58,388,596.74
  5. Step 5: Solve for x
    x = 58,388,596.74/9,811.02
  6. Step 6: Final answer
    x = 5,951.33

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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.