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Finding the Fourth Proportional to 9,396.88, 12,968.12 and 5,205.13

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Solution

The fourth proportional to 9,396.88, 12,968.12 and 5,205.13 is: 7,183.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,396.88 : 12,968.12 = 5,205.13 : x
  2. Step 2: Convert to fraction form
    9,396.88/12,968.12 = 5,205.13/x
  3. Step 3: Cross multiply
    9,396.88x = 12,968.12 × 5,205.13
  4. Step 4: Simplify right side
    9,396.88x = 67,500,659.59
  5. Step 5: Solve for x
    x = 67,500,659.59/9,396.88
  6. Step 6: Final answer
    x = 7,183.31

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1.5x scale

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.