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Finding the Fourth Proportional to 9,394.46, 12,964.09 and 5,361.21

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Solution

The fourth proportional to 9,394.46, 12,964.09 and 5,361.21 is: 7,398.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,394.46 : 12,964.09 = 5,361.21 : x
  2. Step 2: Convert to fraction form
    9,394.46/12,964.09 = 5,361.21/x
  3. Step 3: Cross multiply
    9,394.46x = 12,964.09 × 5,361.21
  4. Step 4: Simplify right side
    9,394.46x = 69,503,152.48
  5. Step 5: Solve for x
    x = 69,503,152.48/9,394.46
  6. Step 6: Final answer
    x = 7,398.32

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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.