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Finding the Fourth Proportional to 9,392.93, 12,962.09 and 5,201.09

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Solution

The fourth proportional to 9,392.93, 12,962.09 and 5,201.09 is: 7,177.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,392.93 : 12,962.09 = 5,201.09 : x
  2. Step 2: Convert to fraction form
    9,392.93/12,962.09 = 5,201.09/x
  3. Step 3: Cross multiply
    9,392.93x = 12,962.09 × 5,201.09
  4. Step 4: Simplify right side
    9,392.93x = 67,416,970.67
  5. Step 5: Solve for x
    x = 67,416,970.67/9,392.93
  6. Step 6: Final answer
    x = 7,177.42

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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.