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Finding the Fourth Proportional to 9,392.07, 12,961.06 and 5,200.32

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Solution

The fourth proportional to 9,392.07, 12,961.06 and 5,200.32 is: 7,176.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,392.07 : 12,961.06 = 5,200.32 : x
  2. Step 2: Convert to fraction form
    9,392.07/12,961.06 = 5,200.32/x
  3. Step 3: Cross multiply
    9,392.07x = 12,961.06 × 5,200.32
  4. Step 4: Simplify right side
    9,392.07x = 67,401,646.54
  5. Step 5: Solve for x
    x = 67,401,646.54/9,392.07
  6. Step 6: Final answer
    x = 7,176.44

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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.