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Finding the Fourth Proportional to 9,405, 14,092.84 and 3,558.44

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Solution

The fourth proportional to 9,405, 14,092.84 and 3,558.44 is: 5,332.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,405 : 14,092.84 = 3,558.44 : x
  2. Step 2: Convert to fraction form
    9,405/14,092.84 = 3,558.44/x
  3. Step 3: Cross multiply
    9,405x = 14,092.84 × 3,558.44
  4. Step 4: Simplify right side
    9,405x = 50,148,525.57
  5. Step 5: Solve for x
    x = 50,148,525.57/9,405
  6. Step 6: Final answer
    x = 5,332.11

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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.