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Finding the Fourth Proportional to 9,396.44, 12,966.93 and 5,147.46

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Solution

The fourth proportional to 9,396.44, 12,966.93 and 5,147.46 is: 7,103.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,396.44 : 12,966.93 = 5,147.46 : x
  2. Step 2: Convert to fraction form
    9,396.44/12,966.93 = 5,147.46/x
  3. Step 3: Cross multiply
    9,396.44x = 12,966.93 × 5,147.46
  4. Step 4: Simplify right side
    9,396.44x = 66,746,772.80
  5. Step 5: Solve for x
    x = 66,746,772.80/9,396.44
  6. Step 6: Final answer
    x = 7,103.41

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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.