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Finding the Fourth Proportional to 9,393, 14,091.84 and 3,549.64

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Solution

The fourth proportional to 9,393, 14,091.84 and 3,549.64 is: 5,325.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,393 : 14,091.84 = 3,549.64 : x
  2. Step 2: Convert to fraction form
    9,393/14,091.84 = 3,549.64/x
  3. Step 3: Cross multiply
    9,393x = 14,091.84 × 3,549.64
  4. Step 4: Simplify right side
    9,393x = 50,020,958.94
  5. Step 5: Solve for x
    x = 50,020,958.94/9,393
  6. Step 6: Final answer
    x = 5,325.34

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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.