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Finding the Fourth Proportional to 9,286.15, 13,913.01 and 7,736.11

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Solution

The fourth proportional to 9,286.15, 13,913.01 and 7,736.11 is: 11,590.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,286.15 : 13,913.01 = 7,736.11 : x
  2. Step 2: Convert to fraction form
    9,286.15/13,913.01 = 7,736.11/x
  3. Step 3: Cross multiply
    9,286.15x = 13,913.01 × 7,736.11
  4. Step 4: Simplify right side
    9,286.15x = 107,632,575.79
  5. Step 5: Solve for x
    x = 107,632,575.79/9,286.15
  6. Step 6: Final answer
    x = 11,590.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.