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Finding the Fourth Proportional to 9,202.96, 12,700.92 and 5,845.42

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Solution

The fourth proportional to 9,202.96, 12,700.92 and 5,845.42 is: 8,067.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,202.96 : 12,700.92 = 5,845.42 : x
  2. Step 2: Convert to fraction form
    9,202.96/12,700.92 = 5,845.42/x
  3. Step 3: Cross multiply
    9,202.96x = 12,700.92 × 5,845.42
  4. Step 4: Simplify right side
    9,202.96x = 74,242,211.79
  5. Step 5: Solve for x
    x = 74,242,211.79/9,202.96
  6. Step 6: Final answer
    x = 8,067.21

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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.