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Finding the Fourth Proportional to 9,383.40, 12,949.25 and 5,134.83

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Solution

The fourth proportional to 9,383.40, 12,949.25 and 5,134.83 is: 7,086.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,383.40 : 12,949.25 = 5,134.83 : x
  2. Step 2: Convert to fraction form
    9,383.40/12,949.25 = 5,134.83/x
  3. Step 3: Cross multiply
    9,383.40x = 12,949.25 × 5,134.83
  4. Step 4: Simplify right side
    9,383.40x = 66,492,197.38
  5. Step 5: Solve for x
    x = 66,492,197.38/9,383.40
  6. Step 6: Final answer
    x = 7,086.15

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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.