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Finding the Fourth Proportional to 9,684.67, 13,377.38 and 7,473.89

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Solution

The fourth proportional to 9,684.67, 13,377.38 and 7,473.89 is: 10,323.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,684.67 : 13,377.38 = 7,473.89 : x
  2. Step 2: Convert to fraction form
    9,684.67/13,377.38 = 7,473.89/x
  3. Step 3: Cross multiply
    9,684.67x = 13,377.38 × 7,473.89
  4. Step 4: Simplify right side
    9,684.67x = 99,981,066.61
  5. Step 5: Solve for x
    x = 99,981,066.61/9,684.67
  6. Step 6: Final answer
    x = 10,323.64

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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.