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Finding the Fourth Proportional to 9,383.16, 12,945.42 and 6,029.40

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Solution

The fourth proportional to 9,383.16, 12,945.42 and 6,029.40 is: 8,318.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,383.16 : 12,945.42 = 6,029.40 : x
  2. Step 2: Convert to fraction form
    9,383.16/12,945.42 = 6,029.40/x
  3. Step 3: Cross multiply
    9,383.16x = 12,945.42 × 6,029.40
  4. Step 4: Simplify right side
    9,383.16x = 78,053,115.35
  5. Step 5: Solve for x
    x = 78,053,115.35/9,383.16
  6. Step 6: Final answer
    x = 8,318.43

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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.