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Finding the Fourth Proportional to 9,793.82, 14,690.66 and 2,398.38

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Solution

The fourth proportional to 9,793.82, 14,690.66 and 2,398.38 is: 3,597.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,793.82 : 14,690.66 = 2,398.38 : x
  2. Step 2: Convert to fraction form
    9,793.82/14,690.66 = 2,398.38/x
  3. Step 3: Cross multiply
    9,793.82x = 14,690.66 × 2,398.38
  4. Step 4: Simplify right side
    9,793.82x = 35,233,785.13
  5. Step 5: Solve for x
    x = 35,233,785.13/9,793.82
  6. Step 6: Final answer
    x = 3,597.55

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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.