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Finding the Fourth Proportional to 9,309.38, 12,846.96 and 5,117.90

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Solution

The fourth proportional to 9,309.38, 12,846.96 and 5,117.90 is: 7,062.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,309.38 : 12,846.96 = 5,117.90 : x
  2. Step 2: Convert to fraction form
    9,309.38/12,846.96 = 5,117.90/x
  3. Step 3: Cross multiply
    9,309.38x = 12,846.96 × 5,117.90
  4. Step 4: Simplify right side
    9,309.38x = 65,749,392.35
  5. Step 5: Solve for x
    x = 65,749,392.35/9,309.38
  6. Step 6: Final answer
    x = 7,062.71

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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.