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Finding the Fourth Proportional to 9,414.96, 12,992.04 and 5,877.96

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Solution

The fourth proportional to 9,414.96, 12,992.04 and 5,877.96 is: 8,111.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,414.96 : 12,992.04 = 5,877.96 : x
  2. Step 2: Convert to fraction form
    9,414.96/12,992.04 = 5,877.96/x
  3. Step 3: Cross multiply
    9,414.96x = 12,992.04 × 5,877.96
  4. Step 4: Simplify right side
    9,414.96x = 76,366,691.44
  5. Step 5: Solve for x
    x = 76,366,691.44/9,414.96
  6. Step 6: Final answer
    x = 8,111.21

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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.