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Finding the Fourth Proportional to 9,393, 14,074.86 and 3,546.42

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Solution

The fourth proportional to 9,393, 14,074.86 and 3,546.42 is: 5,314.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,393 : 14,074.86 = 3,546.42 : x
  2. Step 2: Convert to fraction form
    9,393/14,074.86 = 3,546.42/x
  3. Step 3: Cross multiply
    9,393x = 14,074.86 × 3,546.42
  4. Step 4: Simplify right side
    9,393x = 49,915,365.00
  5. Step 5: Solve for x
    x = 49,915,365.00/9,393
  6. Step 6: Final answer
    x = 5,314.10

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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.