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Finding the Fourth Proportional to 9,474, 13,074.12 and 5,282.25

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Solution

The fourth proportional to 9,474, 13,074.12 and 5,282.25 is: 7,289.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,474 : 13,074.12 = 5,282.25 : x
  2. Step 2: Convert to fraction form
    9,474/13,074.12 = 5,282.25/x
  3. Step 3: Cross multiply
    9,474x = 13,074.12 × 5,282.25
  4. Step 4: Simplify right side
    9,474x = 69,060,770.37
  5. Step 5: Solve for x
    x = 69,060,770.37/9,474
  6. Step 6: Final answer
    x = 7,289.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.