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Finding the Fourth Proportional to 9,404.10, 12,974.38 and 7,162.43

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Solution

The fourth proportional to 9,404.10, 12,974.38 and 7,162.43 is: 9,881.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,404.10 : 12,974.38 = 7,162.43 : x
  2. Step 2: Convert to fraction form
    9,404.10/12,974.38 = 7,162.43/x
  3. Step 3: Cross multiply
    9,404.10x = 12,974.38 × 7,162.43
  4. Step 4: Simplify right side
    9,404.10x = 92,928,005.77
  5. Step 5: Solve for x
    x = 92,928,005.77/9,404.10
  6. Step 6: Final answer
    x = 9,881.65

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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.