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Finding the Fourth Proportional to 9,400.75, 12,973.13 and 5,209.09

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Solution

The fourth proportional to 9,400.75, 12,973.13 and 5,209.09 is: 7,188.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,400.75 : 12,973.13 = 5,209.09 : x
  2. Step 2: Convert to fraction form
    9,400.75/12,973.13 = 5,209.09/x
  3. Step 3: Cross multiply
    9,400.75x = 12,973.13 × 5,209.09
  4. Step 4: Simplify right side
    9,400.75x = 67,578,175.71
  5. Step 5: Solve for x
    x = 67,578,175.71/9,400.75
  6. Step 6: Final answer
    x = 7,188.59

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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.