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Finding the Fourth Proportional to 7,131.89, 9,838.05 and 4,147.39

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Solution

The fourth proportional to 7,131.89, 9,838.05 and 4,147.39 is: 5,721.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,131.89 : 9,838.05 = 4,147.39 : x
  2. Step 2: Convert to fraction form
    7,131.89/9,838.05 = 4,147.39/x
  3. Step 3: Cross multiply
    7,131.89x = 9,838.05 × 4,147.39
  4. Step 4: Simplify right side
    7,131.89x = 40,802,230.19
  5. Step 5: Solve for x
    x = 40,802,230.19/7,131.89
  6. Step 6: Final answer
    x = 5,721.10

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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.