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Finding the Fourth Proportional to 9,954.33, 14,926.46 and 4,409.37

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Solution

The fourth proportional to 9,954.33, 14,926.46 and 4,409.37 is: 6,611.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,954.33 : 14,926.46 = 4,409.37 : x
  2. Step 2: Convert to fraction form
    9,954.33/14,926.46 = 4,409.37/x
  3. Step 3: Cross multiply
    9,954.33x = 14,926.46 × 4,409.37
  4. Step 4: Simplify right side
    9,954.33x = 65,816,284.93
  5. Step 5: Solve for x
    x = 65,816,284.93/9,954.33
  6. Step 6: Final answer
    x = 6,611.82

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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.