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Finding the Fourth Proportional to 9,343.13, 12,893.54 and 5,151.38

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Solution

The fourth proportional to 9,343.13, 12,893.54 and 5,151.38 is: 7,108.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,343.13 : 12,893.54 = 5,151.38 : x
  2. Step 2: Convert to fraction form
    9,343.13/12,893.54 = 5,151.38/x
  3. Step 3: Cross multiply
    9,343.13x = 12,893.54 × 5,151.38
  4. Step 4: Simplify right side
    9,343.13x = 66,419,433.86
  5. Step 5: Solve for x
    x = 66,419,433.86/9,343.13
  6. Step 6: Final answer
    x = 7,108.91

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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.